1x(2x)=4(12-x)

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Solution for 1x(2x)=4(12-x) equation: 


Simplifying
1x(2x) = 4(12 + -1x)

Remove parenthesis around (2x)
1x * 2x = 4(12 + -1x)

Reorder the terms for easier multiplication:
1 * 2x * x = 4(12 + -1x)

Multiply 1 * 2
2x * x = 4(12 + -1x)

Multiply x * x
2x2 = 4(12 + -1x)
2x2 = (12 * 4 + -1x * 4)
2x2 = (48 + -4x)

Solving
2x2 = 48 + -4x

Solving for variable 'x'.

Reorder the terms:
-48 + 4x + 2x2 = 48 + -4x + -48 + 4x

Reorder the terms:
-48 + 4x + 2x2 = 48 + -48 + -4x + 4x

Combine like terms: 48 + -48 = 0
-48 + 4x + 2x2 = 0 + -4x + 4x
-48 + 4x + 2x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-48 + 4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 2x + x2) = 0

Factor a trinomial.
2((-6 + -1x)(4 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-6, 4}

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