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Simplifying (3x + 4)(x + -4) = 0 Reorder the terms: (4 + 3x)(x + -4) = 0 Reorder the terms: (4 + 3x)(-4 + x) = 0 Multiply (4 + 3x) * (-4 + x) (4(-4 + x) + 3x * (-4 + x)) = 0 ((-4 * 4 + x * 4) + 3x * (-4 + x)) = 0 ((-16 + 4x) + 3x * (-4 + x)) = 0 (-16 + 4x + (-4 * 3x + x * 3x)) = 0 (-16 + 4x + (-12x + 3x2)) = 0 Combine like terms: 4x + -12x = -8x (-16 + -8x + 3x2) = 0 Solving -16 + -8x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x)(4 + -1x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.333333333, 4}
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