Finite Math Examples

Find the Roots (Zeros) f(x)=72x-4x^2
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
Factor the left side of the equation.
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Step 2.1.1
Let . Substitute for all occurrences of .
Step 2.1.2
Factor out of .
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Step 2.1.2.1
Factor out of .
Step 2.1.2.2
Factor out of .
Step 2.1.2.3
Factor out of .
Step 2.1.3
Replace all occurrences of with .
Step 2.2
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2.3
Set equal to .
Step 2.4
Set equal to and solve for .
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Step 2.4.1
Set equal to .
Step 2.4.2
Solve for .
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Step 2.4.2.1
Subtract from both sides of the equation.
Step 2.4.2.2
Divide each term in by and simplify.
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Step 2.4.2.2.1
Divide each term in by .
Step 2.4.2.2.2
Simplify the left side.
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Step 2.4.2.2.2.1
Dividing two negative values results in a positive value.
Step 2.4.2.2.2.2
Divide by .
Step 2.4.2.2.3
Simplify the right side.
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Step 2.4.2.2.3.1
Divide by .
Step 2.5
The final solution is all the values that make true.
Step 3