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Simplifying 50 = x(x + -5) Reorder the terms: 50 = x(-5 + x) 50 = (-5 * x + x * x) 50 = (-5x + x2) Solving 50 = -5x + x2 Solving for variable 'x'. Reorder the terms: 50 + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 50 + 5x + -1x2 = 0 + x2 + -1x2 50 + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 50 + 5x + -1x2 = 0 Factor a trinomial. (10 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 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 = {10, -5}
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