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Simplifying (3 + -4x)(x + -4) = 0 Reorder the terms: (3 + -4x)(-4 + x) = 0 Multiply (3 + -4x) * (-4 + x) (3(-4 + x) + -4x * (-4 + x)) = 0 ((-4 * 3 + x * 3) + -4x * (-4 + x)) = 0 ((-12 + 3x) + -4x * (-4 + x)) = 0 (-12 + 3x + (-4 * -4x + x * -4x)) = 0 (-12 + 3x + (16x + -4x2)) = 0 Combine like terms: 3x + 16x = 19x (-12 + 19x + -4x2) = 0 Solving -12 + 19x + -4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + x)(3 + -4x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 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 = {4, 0.75}
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