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Simplifying 0 = -16x2 + 4x + 0 Reorder the terms: 0 = 0 + 4x + -16x2 Remove the zero: 0 = 4x + -16x2 Solving 0 = 4x + -16x2 Solving for variable 'x'. Remove the zero: -4x + 16x2 = 4x + -16x2 + -4x + 16x2 Reorder the terms: -4x + 16x2 = 4x + -4x + -16x2 + 16x2 Combine like terms: 4x + -4x = 0 -4x + 16x2 = 0 + -16x2 + 16x2 -4x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -4x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1 + 4x) = 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 '(-1 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 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 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25Solution
x = {0, 0.25}
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