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Simplifying x(x + -10) = -5(4x + 5) Reorder the terms: x(-10 + x) = -5(4x + 5) (-10 * x + x * x) = -5(4x + 5) (-10x + x2) = -5(4x + 5) Reorder the terms: -10x + x2 = -5(5 + 4x) -10x + x2 = (5 * -5 + 4x * -5) -10x + x2 = (-25 + -20x) Solving -10x + x2 = -25 + -20x Solving for variable 'x'. Reorder the terms: 25 + -10x + 20x + x2 = -25 + -20x + 25 + 20x Combine like terms: -10x + 20x = 10x 25 + 10x + x2 = -25 + -20x + 25 + 20x Reorder the terms: 25 + 10x + x2 = -25 + 25 + -20x + 20x Combine like terms: -25 + 25 = 0 25 + 10x + x2 = 0 + -20x + 20x 25 + 10x + x2 = -20x + 20x Combine like terms: -20x + 20x = 0 25 + 10x + x2 = 0 Factor a trinomial. (5 + x)(5 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-5, -5}
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