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Simplifying (3x + -1)(x + -4) = 4 Reorder the terms: (-1 + 3x)(x + -4) = 4 Reorder the terms: (-1 + 3x)(-4 + x) = 4 Multiply (-1 + 3x) * (-4 + x) (-1(-4 + x) + 3x * (-4 + x)) = 4 ((-4 * -1 + x * -1) + 3x * (-4 + x)) = 4 ((4 + -1x) + 3x * (-4 + x)) = 4 (4 + -1x + (-4 * 3x + x * 3x)) = 4 (4 + -1x + (-12x + 3x2)) = 4 Combine like terms: -1x + -12x = -13x (4 + -13x + 3x2) = 4 Add '-4' to each side of the equation. 4 + -13x + -4 + 3x2 = 4 + -4 Reorder the terms: 4 + -4 + -13x + 3x2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -13x + 3x2 = 4 + -4 -13x + 3x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -13x + 3x2 = 0 Solving -13x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 3x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-13 + 3x)' equal to zero and attempt to solve: Simplifying -13 + 3x = 0 Solving -13 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 0 + 13 3x = 0 + 13 Combine like terms: 0 + 13 = 13 3x = 13 Divide each side by '3'. x = 4.333333333 Simplifying x = 4.333333333Solution
x = {0, 4.333333333}
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