Pre-Algebra Examples

Solve Using the Square Root Property -1/6t-1/12=-1/3t+1/2*5/12*t
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Combine and .
Step 2.1.2
Multiply .
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Step 2.1.2.1
Multiply by .
Step 2.1.2.2
Multiply by .
Step 2.1.3
Combine and .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Factor out of .
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Step 2.5.1.1
Factor out of .
Step 2.5.1.2
Factor out of .
Step 2.5.1.3
Factor out of .
Step 2.5.2
Multiply by .
Step 2.5.3
Add and .
Step 2.6
Reduce the expression by cancelling the common factors.
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Step 2.6.1
Cancel the common factor of and .
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Step 2.6.1.1
Factor out of .
Step 2.6.1.2
Cancel the common factors.
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Step 2.6.1.2.1
Factor out of .
Step 2.6.1.2.2
Cancel the common factor.
Step 2.6.1.2.3
Rewrite the expression.
Step 2.6.2
Simplify the expression.
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Step 2.6.2.1
Move to the left of .
Step 2.6.2.2
Move the negative in front of the fraction.
Step 3
Combine and .
Step 4
Move all terms containing to the left side of the equation.
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Step 4.1
Add to both sides of the equation.
Step 4.2
To write as a fraction with a common denominator, multiply by .
Step 4.3
To write as a fraction with a common denominator, multiply by .
Step 4.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.4.1
Multiply by .
Step 4.4.2
Multiply by .
Step 4.4.3
Multiply by .
Step 4.4.4
Multiply by .
Step 4.5
Combine the numerators over the common denominator.
Step 4.6
Simplify the numerator.
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Step 4.6.1
Factor out of .
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Step 4.6.1.1
Factor out of .
Step 4.6.1.2
Factor out of .
Step 4.6.1.3
Factor out of .
Step 4.6.2
Multiply by .
Step 4.6.3
Add and .
Step 4.7
Multiply by .
Step 5
Multiply both sides of the equation by .
Step 6
Simplify both sides of the equation.
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Step 6.1
Simplify the left side.
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Step 6.1.1
Cancel the common factor of .
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Step 6.1.1.1
Cancel the common factor.
Step 6.1.1.2
Rewrite the expression.
Step 6.2
Simplify the right side.
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Step 6.2.1
Simplify .
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Step 6.2.1.1
Cancel the common factor of .
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Step 6.2.1.1.1
Move the leading negative in into the numerator.
Step 6.2.1.1.2
Factor out of .
Step 6.2.1.1.3
Cancel the common factor.
Step 6.2.1.1.4
Rewrite the expression.
Step 6.2.1.2
Multiply by .