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Simplifying x2 + 8 = 8 + -6x Reorder the terms: 8 + x2 = 8 + -6x Add '-8' to each side of the equation. 8 + -8 + x2 = 8 + -8 + -6x Combine like terms: 8 + -8 = 0 0 + x2 = 8 + -8 + -6x x2 = 8 + -8 + -6x Combine like terms: 8 + -8 = 0 x2 = 0 + -6x x2 = -6x Solving x2 = -6x Solving for variable 'x'. Reorder the terms: 6x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 6x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -6}
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