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Simplifying
(-3x + 4)(-3x + -4) = 0
Reorder the terms:
(4 + -3x)(-3x + -4) = 0
Reorder the terms:
(4 + -3x)(-4 + -3x) = 0
Multiply (4 + -3x) * (-4 + -3x)
(4(-4 + -3x) + -3x * (-4 + -3x)) = 0
((-4 * 4 + -3x * 4) + -3x * (-4 + -3x)) = 0
((-16 + -12x) + -3x * (-4 + -3x)) = 0
(-16 + -12x + (-4 * -3x + -3x * -3x)) = 0
(-16 + -12x + (12x + 9x2)) = 0
Combine like terms: -12x + 12x = 0
(-16 + 0 + 9x2) = 0
(-16 + 9x2) = 0
Solving
-16 + 9x2 = 0
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 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 9x2 = 0 + 16
9x2 = 0 + 16
Combine like terms: 0 + 16 = 16
9x2 = 16
Divide each side by '9'.
x2 = 1.777777778
Simplifying
x2 = 1.777777778
Take the square root of each side:
x = {-1.333333333, 1.333333333}
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