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Simplifying 2x2 + -3x = -10x + -5 Reorder the terms: -3x + 2x2 = -10x + -5 Reorder the terms: -3x + 2x2 = -5 + -10x Solving -3x + 2x2 = -5 + -10x Solving for variable 'x'. Reorder the terms: 5 + -3x + 10x + 2x2 = -5 + -10x + 5 + 10x Combine like terms: -3x + 10x = 7x 5 + 7x + 2x2 = -5 + -10x + 5 + 10x Reorder the terms: 5 + 7x + 2x2 = -5 + 5 + -10x + 10x Combine like terms: -5 + 5 = 0 5 + 7x + 2x2 = 0 + -10x + 10x 5 + 7x + 2x2 = -10x + 10x Combine like terms: -10x + 10x = 0 5 + 7x + 2x2 = 0 Factor a trinomial. (5 + 2x)(1 + x) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-2.5, -1}
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