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Simplifying (x + -1)(2x + 5) + (x + -1) * 2 = 0 Reorder the terms: (-1 + x)(2x + 5) + (x + -1) * 2 = 0 Reorder the terms: (-1 + x)(5 + 2x) + (x + -1) * 2 = 0 Multiply (-1 + x) * (5 + 2x) (-1(5 + 2x) + x(5 + 2x)) + (x + -1) * 2 = 0 ((5 * -1 + 2x * -1) + x(5 + 2x)) + (x + -1) * 2 = 0 ((-5 + -2x) + x(5 + 2x)) + (x + -1) * 2 = 0 (-5 + -2x + (5 * x + 2x * x)) + (x + -1) * 2 = 0 (-5 + -2x + (5x + 2x2)) + (x + -1) * 2 = 0 Combine like terms: -2x + 5x = 3x (-5 + 3x + 2x2) + (x + -1) * 2 = 0 Reorder the terms: -5 + 3x + 2x2 + (-1 + x) * 2 = 0 Reorder the terms for easier multiplication: -5 + 3x + 2x2 + 2(-1 + x) = 0 -5 + 3x + 2x2 + (-1 * 2 + x * 2) = 0 -5 + 3x + 2x2 + (-2 + 2x) = 0 Reorder the terms: -5 + -2 + 3x + 2x + 2x2 = 0 Combine like terms: -5 + -2 = -7 -7 + 3x + 2x + 2x2 = 0 Combine like terms: 3x + 2x = 5x -7 + 5x + 2x2 = 0 Solving -7 + 5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -2x)(1 + -1x) = 0Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-3.5, 1}
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