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Simplifying x2 + -6 = 5x + -12x + -6 Reorder the terms: -6 + x2 = 5x + -12x + -6 Reorder the terms: -6 + x2 = -6 + 5x + -12x Combine like terms: 5x + -12x = -7x -6 + x2 = -6 + -7x Add '6' to each side of the equation. -6 + 6 + x2 = -6 + 6 + -7x Combine like terms: -6 + 6 = 0 0 + x2 = -6 + 6 + -7x x2 = -6 + 6 + -7x Combine like terms: -6 + 6 = 0 x2 = 0 + -7x x2 = -7x Solving x2 = -7x Solving for variable 'x'. Reorder the terms: 7x + x2 = -7x + 7x Combine like terms: -7x + 7x = 0 7x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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