(3x+4)*(3x+4)=144

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Solution for (3x+4)*(3x+4)=144 equation: 


Simplifying
(3x + 4)(3x + 4) = 144

Reorder the terms:
(4 + 3x)(3x + 4) = 144

Reorder the terms:
(4 + 3x)(4 + 3x) = 144

Multiply (4 + 3x) * (4 + 3x)
(4(4 + 3x) + 3x * (4 + 3x)) = 144
((4 * 4 + 3x * 4) + 3x * (4 + 3x)) = 144
((16 + 12x) + 3x * (4 + 3x)) = 144
(16 + 12x + (4 * 3x + 3x * 3x)) = 144
(16 + 12x + (12x + 9x2)) = 144

Combine like terms: 12x + 12x = 24x
(16 + 24x + 9x2) = 144

Solving
16 + 24x + 9x2 = 144

Solving for variable 'x'.

Reorder the terms:
16 + -144 + 24x + 9x2 = 144 + -144

Combine like terms: 16 + -144 = -128
-128 + 24x + 9x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-128 + 24x + 9x2 = 0

Factor a trinomial.
(-16 + -3x)(8 + -3x) = 0


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 '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-5.333333333, 2.666666667}

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