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Simplifying
6(3x + -4)(3x + 4) = 0
Reorder the terms:
6(-4 + 3x)(3x + 4) = 0
Reorder the terms:
6(-4 + 3x)(4 + 3x) = 0
Multiply (-4 + 3x) * (4 + 3x)
6(-4(4 + 3x) + 3x * (4 + 3x)) = 0
6((4 * -4 + 3x * -4) + 3x * (4 + 3x)) = 0
6((-16 + -12x) + 3x * (4 + 3x)) = 0
6(-16 + -12x + (4 * 3x + 3x * 3x)) = 0
6(-16 + -12x + (12x + 9x2)) = 0
Combine like terms: -12x + 12x = 0
6(-16 + 0 + 9x2) = 0
6(-16 + 9x2) = 0
(-16 * 6 + 9x2 * 6) = 0
(-96 + 54x2) = 0
Solving
-96 + 54x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '96' to each side of the equation.
-96 + 96 + 54x2 = 0 + 96
Combine like terms: -96 + 96 = 0
0 + 54x2 = 0 + 96
54x2 = 0 + 96
Combine like terms: 0 + 96 = 96
54x2 = 96
Divide each side by '54'.
x2 = 1.777777778
Simplifying
x2 = 1.777777778
Take the square root of each side:
x = {-1.333333333, 1.333333333}
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