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Simplifying (x + 4)(4x + -3) = 0 Reorder the terms: (4 + x)(4x + -3) = 0 Reorder the terms: (4 + x)(-3 + 4x) = 0 Multiply (4 + x) * (-3 + 4x) (4(-3 + 4x) + x(-3 + 4x)) = 0 ((-3 * 4 + 4x * 4) + x(-3 + 4x)) = 0 ((-12 + 16x) + x(-3 + 4x)) = 0 (-12 + 16x + (-3 * x + 4x * x)) = 0 (-12 + 16x + (-3x + 4x2)) = 0 Combine like terms: 16x + -3x = 13x (-12 + 13x + 4x2) = 0 Solving -12 + 13x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(3 + -4x) = 0Subproblem 1
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 = -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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