4x(2x+11)=3x-36

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Solution for 4x(2x+11)=3x-36 equation: 


Simplifying
4x(2x + 11) = 3x + -36

Reorder the terms:
4x(11 + 2x) = 3x + -36
(11 * 4x + 2x * 4x) = 3x + -36
(44x + 8x2) = 3x + -36

Reorder the terms:
44x + 8x2 = -36 + 3x

Solving
44x + 8x2 = -36 + 3x

Solving for variable 'x'.

Reorder the terms:
36 + 44x + -3x + 8x2 = -36 + 3x + 36 + -3x

Combine like terms: 44x + -3x = 41x
36 + 41x + 8x2 = -36 + 3x + 36 + -3x

Reorder the terms:
36 + 41x + 8x2 = -36 + 36 + 3x + -3x

Combine like terms: -36 + 36 = 0
36 + 41x + 8x2 = 0 + 3x + -3x
36 + 41x + 8x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 41x + 8x2 = 0

Factor a trinomial.
(4 + x)(9 + 8x) = 0


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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4

Subproblem 2
Set the factor '(9 + 8x)' equal to zero and attempt to solve:

Simplifying
9 + 8x = 0

Solving
9 + 8x = 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 + 8x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 0 + -9
8x = 0 + -9

Combine like terms: 0 + -9 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125
Solution
x = {-4, -1.125}

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