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Simplifying 0 = 16x(3x + -1) Reorder the terms: 0 = 16x(-1 + 3x) 0 = (-1 * 16x + 3x * 16x) 0 = (-16x + 48x2) Solving 0 = -16x + 48x2 Solving for variable 'x'. Remove the zero: 16x + -48x2 = -16x + 48x2 + 16x + -48x2 Reorder the terms: 16x + -48x2 = -16x + 16x + 48x2 + -48x2 Combine like terms: -16x + 16x = 0 16x + -48x2 = 0 + 48x2 + -48x2 16x + -48x2 = 48x2 + -48x2 Combine like terms: 48x2 + -48x2 = 0 16x + -48x2 = 0 Factor out the Greatest Common Factor (GCF), '16x'. 16x(1 + -3x) = 0 Ignore the factor 16.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 '(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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