Algebra Examples

Solve for x -3=4x^2-x-3
Step 1
Rewrite the equation as .
Step 2
Add to both sides of the equation.
Step 3
Combine the opposite terms in .
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Step 3.1
Add and .
Step 3.2
Add and .
Step 4
Factor out of .
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Step 4.1
Factor out of .
Step 4.2
Factor out of .
Step 4.3
Factor out of .
Step 5
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 6
Set equal to .
Step 7
Set equal to and solve for .
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Step 7.1
Set equal to .
Step 7.2
Solve for .
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Step 7.2.1
Add to both sides of the equation.
Step 7.2.2
Divide each term in by and simplify.
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Step 7.2.2.1
Divide each term in by .
Step 7.2.2.2
Simplify the left side.
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Step 7.2.2.2.1
Cancel the common factor of .
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Step 7.2.2.2.1.1
Cancel the common factor.
Step 7.2.2.2.1.2
Divide by .
Step 8
The final solution is all the values that make true.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: