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