(2x+3)(6x+32)=

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Solution for (2x+3)(6x+32)= equation: 


Simplifying
(2x + 3)(6x + 32) = 0

Reorder the terms:
(3 + 2x)(6x + 32) = 0

Reorder the terms:
(3 + 2x)(32 + 6x) = 0

Multiply (3 + 2x) * (32 + 6x)
(3(32 + 6x) + 2x * (32 + 6x)) = 0
((32 * 3 + 6x * 3) + 2x * (32 + 6x)) = 0
((96 + 18x) + 2x * (32 + 6x)) = 0
(96 + 18x + (32 * 2x + 6x * 2x)) = 0
(96 + 18x + (64x + 12x2)) = 0

Combine like terms: 18x + 64x = 82x
(96 + 82x + 12x2) = 0

Solving
96 + 82x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(48 + 41x + 6x2) = 0

Factor a trinomial.
2((16 + 3x)(3 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(16 + 3x)' equal to zero and attempt to solve:

Simplifying
16 + 3x = 0

Solving
16 + 3x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 3x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = 0 + -16
3x = 0 + -16

Combine like terms: 0 + -16 = -16
3x = -16

Divide each side by '3'.
x = -5.333333333

Simplifying
x = -5.333333333

Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {-5.333333333, -1.5}

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