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

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


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

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

Combine like terms: 3 + 4 = 7
8x + 4x2 + -1x(7) = 2x + 18

Reorder the terms for easier multiplication:
8x + 4x2 + -1 * 7x = 2x + 18

Multiply -1 * 7
8x + 4x2 + -7x = 2x + 18

Reorder the terms:
8x + -7x + 4x2 = 2x + 18

Combine like terms: 8x + -7x = 1x
1x + 4x2 = 2x + 18

Reorder the terms:
1x + 4x2 = 18 + 2x

Solving
1x + 4x2 = 18 + 2x

Solving for variable 'x'.

Reorder the terms:
-18 + 1x + -2x + 4x2 = 18 + 2x + -18 + -2x

Combine like terms: 1x + -2x = -1x
-18 + -1x + 4x2 = 18 + 2x + -18 + -2x

Reorder the terms:
-18 + -1x + 4x2 = 18 + -18 + 2x + -2x

Combine like terms: 18 + -18 = 0
-18 + -1x + 4x2 = 0 + 2x + -2x
-18 + -1x + 4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + -1x + 4x2 = 0

Factor a trinomial.
(-2 + -1x)(9 + -4x) = 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 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 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 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {-2, 2.25}

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