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Simplifying (-4x + 3)(x + -3) = 0 Reorder the terms: (3 + -4x)(x + -3) = 0 Reorder the terms: (3 + -4x)(-3 + x) = 0 Multiply (3 + -4x) * (-3 + x) (3(-3 + x) + -4x * (-3 + x)) = 0 ((-3 * 3 + x * 3) + -4x * (-3 + x)) = 0 ((-9 + 3x) + -4x * (-3 + x)) = 0 (-9 + 3x + (-3 * -4x + x * -4x)) = 0 (-9 + 3x + (12x + -4x2)) = 0 Combine like terms: 3x + 12x = 15x (-9 + 15x + -4x2) = 0 Solving -9 + 15x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + x)(3 + -4x) = 0Subproblem 1
Set the factor '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Subproblem 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 = {3, 0.75}
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