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Simplifying -5(x + 4) + x(x + 4) = 0 Reorder the terms: -5(4 + x) + x(x + 4) = 0 (4 * -5 + x * -5) + x(x + 4) = 0 (-20 + -5x) + x(x + 4) = 0 Reorder the terms: -20 + -5x + x(4 + x) = 0 -20 + -5x + (4 * x + x * x) = 0 -20 + -5x + (4x + x2) = 0 Combine like terms: -5x + 4x = -1x -20 + -1x + x2 = 0 Solving -20 + -1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -1x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-4, 5}
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