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Simplifying (-4x + 3)(-4x + 3) = 0 Reorder the terms: (3 + -4x)(-4x + 3) = 0 Reorder the terms: (3 + -4x)(3 + -4x) = 0 Multiply (3 + -4x) * (3 + -4x) (3(3 + -4x) + -4x * (3 + -4x)) = 0 ((3 * 3 + -4x * 3) + -4x * (3 + -4x)) = 0 ((9 + -12x) + -4x * (3 + -4x)) = 0 (9 + -12x + (3 * -4x + -4x * -4x)) = 0 (9 + -12x + (-12x + 16x2)) = 0 Combine like terms: -12x + -12x = -24x (9 + -24x + 16x2) = 0 Solving 9 + -24x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -4x)(3 + -4x) = 0Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Solution
x = {0.75, 0.75}
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