Basic Math Examples

Solve for n -3n^2-4n=3n^2+2
Step 1
Move all terms containing to the left side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
Subtract from .
Step 2
Subtract from both sides of the equation.
Step 3
Factor out of .
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Step 3.1
Factor out of .
Step 3.2
Factor out of .
Step 3.3
Factor out of .
Step 3.4
Factor out of .
Step 3.5
Factor out of .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .
Step 5
Use the quadratic formula to find the solutions.
Step 6
Substitute the values , , and into the quadratic formula and solve for .
Step 7
Simplify.
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Step 7.1
Simplify the numerator.
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Step 7.1.1
Raise to the power of .
Step 7.1.2
Multiply .
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Step 7.1.2.1
Multiply by .
Step 7.1.2.2
Multiply by .
Step 7.1.3
Subtract from .
Step 7.1.4
Rewrite as .
Step 7.1.5
Rewrite as .
Step 7.1.6
Rewrite as .
Step 7.1.7
Rewrite as .
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Step 7.1.7.1
Factor out of .
Step 7.1.7.2
Rewrite as .
Step 7.1.8
Pull terms out from under the radical.
Step 7.1.9
Move to the left of .
Step 7.2
Multiply by .
Step 7.3
Simplify .
Step 8
The final answer is the combination of both solutions.