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Simplifying 0 = 4x2 + -1x + 0 Reorder the terms: 0 = 0 + -1x + 4x2 Remove the zero: 0 = -1x + 4x2 Solving 0 = -1x + 4x2 Solving for variable 'x'. Remove the zero: x + -4x2 = -1x + 4x2 + x + -4x2 Reorder the terms: x + -4x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 x + -4x2 = 0 + 4x2 + -4x2 x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(1 + -4x) = 0Subproblem 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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