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Simplifying (2x + -1)(x + 5) = -5 Reorder the terms: (-1 + 2x)(x + 5) = -5 Reorder the terms: (-1 + 2x)(5 + x) = -5 Multiply (-1 + 2x) * (5 + x) (-1(5 + x) + 2x * (5 + x)) = -5 ((5 * -1 + x * -1) + 2x * (5 + x)) = -5 ((-5 + -1x) + 2x * (5 + x)) = -5 (-5 + -1x + (5 * 2x + x * 2x)) = -5 (-5 + -1x + (10x + 2x2)) = -5 Combine like terms: -1x + 10x = 9x (-5 + 9x + 2x2) = -5 Add '5' to each side of the equation. -5 + 9x + 5 + 2x2 = -5 + 5 Reorder the terms: -5 + 5 + 9x + 2x2 = -5 + 5 Combine like terms: -5 + 5 = 0 0 + 9x + 2x2 = -5 + 5 9x + 2x2 = -5 + 5 Combine like terms: -5 + 5 = 0 9x + 2x2 = 0 Solving 9x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 2x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0, -4.5}
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