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Simplifying (2x + -5)(x + 4) + 20 = 0 Reorder the terms: (-5 + 2x)(x + 4) + 20 = 0 Reorder the terms: (-5 + 2x)(4 + x) + 20 = 0 Multiply (-5 + 2x) * (4 + x) (-5(4 + x) + 2x * (4 + x)) + 20 = 0 ((4 * -5 + x * -5) + 2x * (4 + x)) + 20 = 0 ((-20 + -5x) + 2x * (4 + x)) + 20 = 0 (-20 + -5x + (4 * 2x + x * 2x)) + 20 = 0 (-20 + -5x + (8x + 2x2)) + 20 = 0 Combine like terms: -5x + 8x = 3x (-20 + 3x + 2x2) + 20 = 0 Reorder the terms: -20 + 20 + 3x + 2x2 = 0 Combine like terms: -20 + 20 = 0 0 + 3x + 2x2 = 0 3x + 2x2 = 0 Solving 3x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(3 + 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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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