(x+12)(x-3)=4x

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Solution for (x+12)(x-3)=4x equation: 


Simplifying
(x + 12)(x + -3) = 4x

Reorder the terms:
(12 + x)(x + -3) = 4x

Reorder the terms:
(12 + x)(-3 + x) = 4x

Multiply (12 + x) * (-3 + x)
(12(-3 + x) + x(-3 + x)) = 4x
((-3 * 12 + x * 12) + x(-3 + x)) = 4x
((-36 + 12x) + x(-3 + x)) = 4x
(-36 + 12x + (-3 * x + x * x)) = 4x
(-36 + 12x + (-3x + x2)) = 4x

Combine like terms: 12x + -3x = 9x
(-36 + 9x + x2) = 4x

Solving
-36 + 9x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-36 + 9x + -4x + x2 = 4x + -4x

Combine like terms: 9x + -4x = 5x
-36 + 5x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 5x + x2 = 0

Factor a trinomial.
(-9 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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 = {-9, 4}

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