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Simplifying 12x2 + -1 = -1 + 8x Reorder the terms: -1 + 12x2 = -1 + 8x Add '1' to each side of the equation. -1 + 1 + 12x2 = -1 + 1 + 8x Combine like terms: -1 + 1 = 0 0 + 12x2 = -1 + 1 + 8x 12x2 = -1 + 1 + 8x Combine like terms: -1 + 1 = 0 12x2 = 0 + 8x 12x2 = 8x Solving 12x2 = 8x Solving for variable 'x'. Reorder the terms: -8x + 12x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -8x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-2 + 3x) = 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 '(-2 + 3x)' equal to zero and attempt to solve: Simplifying -2 + 3x = 0 Solving -2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 0 + 2 3x = 0 + 2 Combine like terms: 0 + 2 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0, 0.6666666667}
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