4x(x-2)-3x(x+1)=-18

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Solution for 4x(x-2)-3x(x+1)=-18 equation: 


Simplifying
4x(x + -2) + -3x(x + 1) = -18

Reorder the terms:
4x(-2 + x) + -3x(x + 1) = -18
(-2 * 4x + x * 4x) + -3x(x + 1) = -18
(-8x + 4x2) + -3x(x + 1) = -18

Reorder the terms:
-8x + 4x2 + -3x(1 + x) = -18
-8x + 4x2 + (1 * -3x + x * -3x) = -18
-8x + 4x2 + (-3x + -3x2) = -18

Reorder the terms:
-8x + -3x + 4x2 + -3x2 = -18

Combine like terms: -8x + -3x = -11x
-11x + 4x2 + -3x2 = -18

Combine like terms: 4x2 + -3x2 = 1x2
-11x + 1x2 = -18

Solving
-11x + 1x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + -11x + 1x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -11x + 1x2 = 0

Factor a trinomial.
(2 + -1x)(9 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
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
Solution
x = {2, 9}

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