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Simplifying 3x2 + 150 = 2x2 + -25x Reorder the terms: 150 + 3x2 = 2x2 + -25x Reorder the terms: 150 + 3x2 = -25x + 2x2 Solving 150 + 3x2 = -25x + 2x2 Solving for variable 'x'. Reorder the terms: 150 + 25x + 3x2 + -2x2 = -25x + 2x2 + 25x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 150 + 25x + 1x2 = -25x + 2x2 + 25x + -2x2 Reorder the terms: 150 + 25x + 1x2 = -25x + 25x + 2x2 + -2x2 Combine like terms: -25x + 25x = 0 150 + 25x + 1x2 = 0 + 2x2 + -2x2 150 + 25x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 150 + 25x + 1x2 = 0 Factor a trinomial. (15 + x)(10 + x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 2
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 = -10Solution
x = {-15, -10}
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