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Simplifying 8x2 + -7 = -7 + -12x Reorder the terms: -7 + 8x2 = -7 + -12x Add '7' to each side of the equation. -7 + 7 + 8x2 = -7 + 7 + -12x Combine like terms: -7 + 7 = 0 0 + 8x2 = -7 + 7 + -12x 8x2 = -7 + 7 + -12x Combine like terms: -7 + 7 = 0 8x2 = 0 + -12x 8x2 = -12x Solving 8x2 = -12x Solving for variable 'x'. Reorder the terms: 12x + 8x2 = -12x + 12x Combine like terms: -12x + 12x = 0 12x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(3 + 2x) = 0 Ignore the factor 4.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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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