Finite Math Examples

Solve for x 3/5*(4/5x-1/2)=-3/4
Step 1
Multiply both sides of the equation by .
Step 2
Simplify both sides of the equation.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Combine and .
Step 2.1.1.2
Apply the distributive property.
Step 2.1.1.3
Multiply .
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Step 2.1.1.3.1
Multiply by .
Step 2.1.1.3.2
Multiply by .
Step 2.1.1.3.3
Multiply by .
Step 2.1.1.4
Multiply .
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Step 2.1.1.4.1
Multiply by .
Step 2.1.1.4.2
Multiply by .
Step 2.1.1.5
Apply the distributive property.
Step 2.1.1.6
Cancel the common factor of .
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Step 2.1.1.6.1
Factor out of .
Step 2.1.1.6.2
Cancel the common factor.
Step 2.1.1.6.3
Rewrite the expression.
Step 2.1.1.7
Cancel the common factor of .
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Step 2.1.1.7.1
Factor out of .
Step 2.1.1.7.2
Cancel the common factor.
Step 2.1.1.7.3
Rewrite the expression.
Step 2.1.1.8
Cancel the common factor of .
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Step 2.1.1.8.1
Move the leading negative in into the numerator.
Step 2.1.1.8.2
Factor out of .
Step 2.1.1.8.3
Cancel the common factor.
Step 2.1.1.8.4
Rewrite the expression.
Step 2.1.1.9
Cancel the common factor of .
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Step 2.1.1.9.1
Factor out of .
Step 2.1.1.9.2
Cancel the common factor.
Step 2.1.1.9.3
Rewrite the expression.
Step 2.1.1.10
Move the negative in front of the fraction.
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Cancel the common factor of .
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Step 2.2.1.1.1
Move the leading negative in into the numerator.
Step 2.2.1.1.2
Factor out of .
Step 2.2.1.1.3
Cancel the common factor.
Step 2.2.1.1.4
Rewrite the expression.
Step 2.2.1.2
Combine and .
Step 2.2.1.3
Simplify the expression.
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Step 2.2.1.3.1
Multiply by .
Step 2.2.1.3.2
Move the negative in front of the fraction.
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Add to both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Add and .
Step 3.6
Move the negative in front of the fraction.
Step 4
Multiply both sides of the equation by .
Step 5
Simplify both sides of the equation.
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Step 5.1
Simplify the left side.
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Step 5.1.1
Simplify .
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Step 5.1.1.1
Cancel the common factor of .
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Step 5.1.1.1.1
Cancel the common factor.
Step 5.1.1.1.2
Rewrite the expression.
Step 5.1.1.2
Cancel the common factor of .
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Step 5.1.1.2.1
Factor out of .
Step 5.1.1.2.2
Cancel the common factor.
Step 5.1.1.2.3
Rewrite the expression.
Step 5.2
Simplify the right side.
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Step 5.2.1
Multiply .
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Step 5.2.1.1
Multiply by .
Step 5.2.1.2
Multiply by .
Step 5.2.1.3
Multiply by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: