Basic Math Examples

Solve for p (12+p)(9-p)=28+6p
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by adding zeros.
Step 1.3
Expand using the FOIL Method.
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Step 1.3.1
Apply the distributive property.
Step 1.3.2
Apply the distributive property.
Step 1.3.3
Apply the distributive property.
Step 1.4
Simplify and combine like terms.
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Step 1.4.1
Simplify each term.
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Step 1.4.1.1
Multiply by .
Step 1.4.1.2
Multiply by .
Step 1.4.1.3
Move to the left of .
Step 1.4.1.4
Rewrite using the commutative property of multiplication.
Step 1.4.1.5
Multiply by by adding the exponents.
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Step 1.4.1.5.1
Move .
Step 1.4.1.5.2
Multiply by .
Step 1.4.2
Add and .
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
Subtract from .
Step 3
Move all terms to the left side of the equation and simplify.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Use the quadratic formula to find the solutions.
Step 5
Substitute the values , , and into the quadratic formula and solve for .
Step 6
Simplify.
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Step 6.1
Simplify the numerator.
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Step 6.1.1
Raise to the power of .
Step 6.1.2
Multiply .
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Step 6.1.2.1
Multiply by .
Step 6.1.2.2
Multiply by .
Step 6.1.3
Add and .
Step 6.2
Multiply by .
Step 6.3
Move the negative in front of the fraction.
Step 7
The final answer is the combination of both solutions.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: