4x(x-2)-24=3x(x-2)

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Solution for 4x(x-2)-24=3x(x-2) equation: 


Simplifying
4x(x + -2) + -24 = 3x(x + -2)

Reorder the terms:
4x(-2 + x) + -24 = 3x(x + -2)
(-2 * 4x + x * 4x) + -24 = 3x(x + -2)
(-8x + 4x2) + -24 = 3x(x + -2)

Reorder the terms:
-24 + -8x + 4x2 = 3x(x + -2)

Reorder the terms:
-24 + -8x + 4x2 = 3x(-2 + x)
-24 + -8x + 4x2 = (-2 * 3x + x * 3x)
-24 + -8x + 4x2 = (-6x + 3x2)

Solving
-24 + -8x + 4x2 = -6x + 3x2

Solving for variable 'x'.

Reorder the terms:
-24 + -8x + 6x + 4x2 + -3x2 = -6x + 3x2 + 6x + -3x2

Combine like terms: -8x + 6x = -2x
-24 + -2x + 4x2 + -3x2 = -6x + 3x2 + 6x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
-24 + -2x + 1x2 = -6x + 3x2 + 6x + -3x2

Reorder the terms:
-24 + -2x + 1x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
-24 + -2x + 1x2 = 0 + 3x2 + -3x2
-24 + -2x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-24 + -2x + 1x2 = 0

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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-4, 6}

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