Basic Math Examples

Solve for d d/(3/5)*d=-6
Step 1
Simplify .
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Step 1.1
Multiply the numerator by the reciprocal of the denominator.
Step 1.2
Multiply by by adding the exponents.
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Step 1.2.1
Move .
Step 1.2.2
Multiply by .
Step 1.3
Combine and .
Step 1.4
Move to the left of .
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Combine.
Step 3.1.1.2
Cancel the common factor of .
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Step 3.1.1.2.1
Cancel the common factor.
Step 3.1.1.2.2
Rewrite the expression.
Step 3.1.1.3
Cancel the common factor of .
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Step 3.1.1.3.1
Cancel the common factor.
Step 3.1.1.3.2
Divide by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Multiply .
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Step 3.2.1.1.1
Combine and .
Step 3.2.1.1.2
Multiply by .
Step 3.2.1.2
Move the negative in front of the fraction.
Step 4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 5
Simplify .
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Step 5.1
Rewrite as .
Step 5.2
Pull terms out from under the radical.
Step 5.3
Rewrite as .
Step 5.4
Simplify the numerator.
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Step 5.4.1
Rewrite as .
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Step 5.4.1.1
Factor out of .
Step 5.4.1.2
Rewrite as .
Step 5.4.2
Pull terms out from under the radical.
Step 5.5
Multiply by .
Step 5.6
Combine and simplify the denominator.
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Step 5.6.1
Multiply by .
Step 5.6.2
Raise to the power of .
Step 5.6.3
Raise to the power of .
Step 5.6.4
Use the power rule to combine exponents.
Step 5.6.5
Add and .
Step 5.6.6
Rewrite as .
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Step 5.6.6.1
Use to rewrite as .
Step 5.6.6.2
Apply the power rule and multiply exponents, .
Step 5.6.6.3
Combine and .
Step 5.6.6.4
Cancel the common factor of .
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Step 5.6.6.4.1
Cancel the common factor.
Step 5.6.6.4.2
Rewrite the expression.
Step 5.6.6.5
Evaluate the exponent.
Step 5.7
Simplify the numerator.
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Step 5.7.1
Combine using the product rule for radicals.
Step 5.7.2
Multiply by .
Step 5.8
Combine fractions.
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Step 5.8.1
Combine and .
Step 5.8.2
Move to the left of .
Step 6
The complete solution is the result of both the positive and negative portions of the solution.
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Step 6.1
First, use the positive value of the to find the first solution.
Step 6.2
Next, use the negative value of the to find the second solution.
Step 6.3
The complete solution is the result of both the positive and negative portions of the solution.