Basic Math Examples

Solve for p 12p^2+bp+3=0
Step 1
Use the quadratic formula to find the solutions.
Step 2
Substitute the values , , and into the quadratic formula and solve for .
Step 3
Simplify.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Multiply .
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Step 3.1.1.1
Multiply by .
Step 3.1.1.2
Multiply by .
Step 3.1.2
Rewrite in a factored form.
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Step 3.1.2.1
Rewrite as .
Step 3.1.2.2
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Step 3.2
Multiply by .
Step 4
The final answer is the combination of both solutions.