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Simplifying (x + -5)(x + 2) = -10 Reorder the terms: (-5 + x)(x + 2) = -10 Reorder the terms: (-5 + x)(2 + x) = -10 Multiply (-5 + x) * (2 + x) (-5(2 + x) + x(2 + x)) = -10 ((2 * -5 + x * -5) + x(2 + x)) = -10 ((-10 + -5x) + x(2 + x)) = -10 (-10 + -5x + (2 * x + x * x)) = -10 (-10 + -5x + (2x + x2)) = -10 Combine like terms: -5x + 2x = -3x (-10 + -3x + x2) = -10 Add '10' to each side of the equation. -10 + -3x + 10 + x2 = -10 + 10 Reorder the terms: -10 + 10 + -3x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 0 + -3x + x2 = -10 + 10 -3x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 -3x + x2 = 0 Solving -3x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-3 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 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 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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