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Simplifying 0 = (4x2) + -1x Reorder the terms: 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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