(12x+69)(8x+81)=

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Solution for (12x+69)(8x+81)= equation: 


Simplifying
(12x + 69)(8x + 81) = 0

Reorder the terms:
(69 + 12x)(8x + 81) = 0

Reorder the terms:
(69 + 12x)(81 + 8x) = 0

Multiply (69 + 12x) * (81 + 8x)
(69(81 + 8x) + 12x * (81 + 8x)) = 0
((81 * 69 + 8x * 69) + 12x * (81 + 8x)) = 0
((5589 + 552x) + 12x * (81 + 8x)) = 0
(5589 + 552x + (81 * 12x + 8x * 12x)) = 0
(5589 + 552x + (972x + 96x2)) = 0

Combine like terms: 552x + 972x = 1524x
(5589 + 1524x + 96x2) = 0

Solving
5589 + 1524x + 96x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1863 + 508x + 32x2) = 0

Factor a trinomial.
3((81 + 8x)(23 + 4x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(81 + 8x)' equal to zero and attempt to solve:

Simplifying
81 + 8x = 0

Solving
81 + 8x = 0

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

Add '-81' to each side of the equation.
81 + -81 + 8x = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 8x = 0 + -81
8x = 0 + -81

Combine like terms: 0 + -81 = -81
8x = -81

Divide each side by '8'.
x = -10.125

Simplifying
x = -10.125

Subproblem 2
Set the factor '(23 + 4x)' equal to zero and attempt to solve:

Simplifying
23 + 4x = 0

Solving
23 + 4x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 4x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 4x = 0 + -23
4x = 0 + -23

Combine like terms: 0 + -23 = -23
4x = -23

Divide each side by '4'.
x = -5.75

Simplifying
x = -5.75
Solution
x = {-10.125, -5.75}

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