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Simplifying 4x(12x2 + -4x) = 0 Reorder the terms: 4x(-4x + 12x2) = 0 (-4x * 4x + 12x2 * 4x) = 0 (-16x2 + 48x3) = 0 Solving -16x2 + 48x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16x2'. 16x2(-1 + 3x) = 0 Ignore the factor 16.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-1 + 3x)' equal to zero and attempt to solve: Simplifying -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {0, 0.3333333333}
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