Finite Math Examples

Find the Roots (Zeros) y=-2x^2-4x-6
Step 1
Set equal to .
Step 2
Solve for .
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Step 2.1
Factor out of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.1.4
Factor out of .
Step 2.1.5
Factor out of .
Step 2.2
Divide each term in by and simplify.
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Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Cancel the common factor of .
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Step 2.2.2.1.1
Cancel the common factor.
Step 2.2.2.1.2
Divide by .
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Divide by .
Step 2.3
Use the quadratic formula to find the solutions.
Step 2.4
Substitute the values , , and into the quadratic formula and solve for .
Step 2.5
Simplify.
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Step 2.5.1
Simplify the numerator.
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Step 2.5.1.1
Raise to the power of .
Step 2.5.1.2
Multiply .
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Step 2.5.1.2.1
Multiply by .
Step 2.5.1.2.2
Multiply by .
Step 2.5.1.3
Subtract from .
Step 2.5.1.4
Rewrite as .
Step 2.5.1.5
Rewrite as .
Step 2.5.1.6
Rewrite as .
Step 2.5.1.7
Rewrite as .
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Step 2.5.1.7.1
Factor out of .
Step 2.5.1.7.2
Rewrite as .
Step 2.5.1.8
Pull terms out from under the radical.
Step 2.5.1.9
Move to the left of .
Step 2.5.2
Multiply by .
Step 2.5.3
Simplify .
Step 2.6
The final answer is the combination of both solutions.
Step 3