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Simplifying 32x2 = 12x Solving 32x2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 32x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 32x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-3 + 8x) = 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 + 8x)' equal to zero and attempt to solve: Simplifying -3 + 8x = 0 Solving -3 + 8x = 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 + 8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 0 + 3 8x = 0 + 3 Combine like terms: 0 + 3 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375Solution
x = {0, 0.375}
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