Algebra Examples

Solve for p p^2+p-90=0
Step 1
Factor using the AC method.
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Step 1.1
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Step 1.2
Write the factored form using these integers.
Step 2
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 3
Set equal to and solve for .
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Step 3.1
Set equal to .
Step 3.2
Add to both sides of the equation.
Step 4
Set equal to and solve for .
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Step 4.1
Set equal to .
Step 4.2
Subtract from both sides of the equation.
Step 5
The final solution is all the values that make true.