Solve for x |4x|=12

Math
|4x|=12
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
4x=±12
Set up the positive portion of the ± solution.
4x=12
Divide each term by 4 and simplify.
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Divide each term in 4x=12 by 4.
4×4=124
Cancel the common factor of 4.
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Cancel the common factor.
4×4=124
Divide x by 1.
x=124
x=124
Divide 12 by 4.
x=3
x=3
Set up the negative portion of the ± solution.
4x=-12
Divide each term by 4 and simplify.
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Divide each term in 4x=-12 by 4.
4×4=-124
Cancel the common factor of 4.
Tap for more steps…
Cancel the common factor.
4×4=-124
Divide x by 1.
x=-124
x=-124
Divide -12 by 4.
x=-3
x=-3
The solution to the equation includes both the positive and negative portions of the solution.
x=3,-3
Solve for x |4x|=12

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