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Simplifying (x2 + -3x) + -1(2x2 + 5x) = 0 Reorder the terms: (-3x + x2) + -1(2x2 + 5x) = 0 Remove parenthesis around (-3x + x2) -3x + x2 + -1(2x2 + 5x) = 0 Reorder the terms: -3x + x2 + -1(5x + 2x2) = 0 -3x + x2 + (5x * -1 + 2x2 * -1) = 0 -3x + x2 + (-5x + -2x2) = 0 Reorder the terms: -3x + -5x + x2 + -2x2 = 0 Combine like terms: -3x + -5x = -8x -8x + x2 + -2x2 = 0 Combine like terms: x2 + -2x2 = -1x2 -8x + -1x2 = 0 Solving -8x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(8 + x) = 0 Ignore the factor -1.Subproblem 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0, -8}
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