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Simplifying x(x + -5) + -4(x + -5) = 0 Reorder the terms: x(-5 + x) + -4(x + -5) = 0 (-5 * x + x * x) + -4(x + -5) = 0 (-5x + x2) + -4(x + -5) = 0 Reorder the terms: -5x + x2 + -4(-5 + x) = 0 -5x + x2 + (-5 * -4 + x * -4) = 0 -5x + x2 + (20 + -4x) = 0 Reorder the terms: 20 + -5x + -4x + x2 = 0 Combine like terms: -5x + -4x = -9x 20 + -9x + x2 = 0 Solving 20 + -9x + 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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