(3x+8)(4x+8)=832

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Solution for (3x+8)(4x+8)=832 equation: 


Simplifying
(3x + 8)(4x + 8) = 832

Reorder the terms:
(8 + 3x)(4x + 8) = 832

Reorder the terms:
(8 + 3x)(8 + 4x) = 832

Multiply (8 + 3x) * (8 + 4x)
(8(8 + 4x) + 3x * (8 + 4x)) = 832
((8 * 8 + 4x * 8) + 3x * (8 + 4x)) = 832
((64 + 32x) + 3x * (8 + 4x)) = 832
(64 + 32x + (8 * 3x + 4x * 3x)) = 832
(64 + 32x + (24x + 12x2)) = 832

Combine like terms: 32x + 24x = 56x
(64 + 56x + 12x2) = 832

Solving
64 + 56x + 12x2 = 832

Solving for variable 'x'.

Reorder the terms:
64 + -832 + 56x + 12x2 = 832 + -832

Combine like terms: 64 + -832 = -768
-768 + 56x + 12x2 = 832 + -832

Combine like terms: 832 + -832 = 0
-768 + 56x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-192 + 14x + 3x2) = 0

Factor a trinomial.
4((-32 + -3x)(6 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve:

Simplifying
-32 + -3x = 0

Solving
-32 + -3x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -3x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = 0 + 32
-3x = 0 + 32

Combine like terms: 0 + 32 = 32
-3x = 32

Divide each side by '-3'.
x = -10.66666667

Simplifying
x = -10.66666667

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 = {-10.66666667, 6}

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