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Simplifying 2x(8x + -3) = 0 Reorder the terms: 2x(-3 + 8x) = 0 (-3 * 2x + 8x * 2x) = 0 (-6x + 16x2) = 0 Solving -6x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 8x) = 0 Ignore the factor 2.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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