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Simplifying -6x2 + -3x + 8 = 8 Reorder the terms: 8 + -3x + -6x2 = 8 Add '-8' to each side of the equation. 8 + -3x + -8 + -6x2 = 8 + -8 Reorder the terms: 8 + -8 + -3x + -6x2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -3x + -6x2 = 8 + -8 -3x + -6x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -3x + -6x2 = 0 Solving -3x + -6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-3x'. -3x(1 + 2x) = 0 Ignore the factor -3.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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {0, -0.5}
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