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Simplifying 5x(x + 4) + -3(x + 4) = 0 Reorder the terms: 5x(4 + x) + -3(x + 4) = 0 (4 * 5x + x * 5x) + -3(x + 4) = 0 (20x + 5x2) + -3(x + 4) = 0 Reorder the terms: 20x + 5x2 + -3(4 + x) = 0 20x + 5x2 + (4 * -3 + x * -3) = 0 20x + 5x2 + (-12 + -3x) = 0 Reorder the terms: -12 + 20x + -3x + 5x2 = 0 Combine like terms: 20x + -3x = 17x -12 + 17x + 5x2 = 0 Solving -12 + 17x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(3 + -5x) = 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 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {-4, 0.6}
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