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Simplifying
(3x + -4)(3x + 4) = 64
Reorder the terms:
(-4 + 3x)(3x + 4) = 64
Reorder the terms:
(-4 + 3x)(4 + 3x) = 64
Multiply (-4 + 3x) * (4 + 3x)
(-4(4 + 3x) + 3x * (4 + 3x)) = 64
((4 * -4 + 3x * -4) + 3x * (4 + 3x)) = 64
((-16 + -12x) + 3x * (4 + 3x)) = 64
(-16 + -12x + (4 * 3x + 3x * 3x)) = 64
(-16 + -12x + (12x + 9x2)) = 64
Combine like terms: -12x + 12x = 0
(-16 + 0 + 9x2) = 64
(-16 + 9x2) = 64
Solving
-16 + 9x2 = 64
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 9x2 = 64 + 16
Combine like terms: -16 + 16 = 0
0 + 9x2 = 64 + 16
9x2 = 64 + 16
Combine like terms: 64 + 16 = 80
9x2 = 80
Divide each side by '9'.
x2 = 8.888888889
Simplifying
x2 = 8.888888889
Take the square root of each side:
x = {-2.98142397, 2.98142397}
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