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Simplifying 5(x + -10) = 2x(x + -10) Reorder the terms: 5(-10 + x) = 2x(x + -10) (-10 * 5 + x * 5) = 2x(x + -10) (-50 + 5x) = 2x(x + -10) Reorder the terms: -50 + 5x = 2x(-10 + x) -50 + 5x = (-10 * 2x + x * 2x) -50 + 5x = (-20x + 2x2) Solving -50 + 5x = -20x + 2x2 Solving for variable 'x'. Combine like terms: 5x + 20x = 25x -50 + 25x + -2x2 = -20x + 2x2 + 20x + -2x2 Reorder the terms: -50 + 25x + -2x2 = -20x + 20x + 2x2 + -2x2 Combine like terms: -20x + 20x = 0 -50 + 25x + -2x2 = 0 + 2x2 + -2x2 -50 + 25x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -50 + 25x + -2x2 = 0 Factor a trinomial. (-10 + x)(5 + -2x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {10, 2.5}
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