Calculus Examples

Solve for p p=90-(1/2*(90-1/2p))
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Combine and .
Step 1.1.2
Apply the distributive property.
Step 1.1.3
Cancel the common factor of .
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Step 1.1.3.1
Move the leading negative in into the numerator.
Step 1.1.3.2
Factor out of .
Step 1.1.3.3
Cancel the common factor.
Step 1.1.3.4
Rewrite the expression.
Step 1.1.4
Multiply by .
Step 1.1.5
Multiply .
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Step 1.1.5.1
Multiply by .
Step 1.1.5.2
Multiply by .
Step 1.1.5.3
Multiply by .
Step 1.1.5.4
Multiply by .
Step 1.2
Subtract from .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Move to the left of .
Step 2.5.2
Subtract from .
Step 3
Multiply both sides of the equation by .
Step 4
Simplify both sides of the equation.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Simplify .
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Step 4.1.1.1
Cancel the common factor of .
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Step 4.1.1.1.1
Cancel the common factor.
Step 4.1.1.1.2
Rewrite the expression.
Step 4.1.1.2
Cancel the common factor of .
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Step 4.1.1.2.1
Factor out of .
Step 4.1.1.2.2
Cancel the common factor.
Step 4.1.1.2.3
Rewrite the expression.
Step 4.2
Simplify the right side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Cancel the common factor of .
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Step 4.2.1.1.1
Factor out of .
Step 4.2.1.1.2
Cancel the common factor.
Step 4.2.1.1.3
Rewrite the expression.
Step 4.2.1.2
Multiply by .