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Simplifying 4x2 + -1x + 4 = 4 Reorder the terms: 4 + -1x + 4x2 = 4 Add '-4' to each side of the equation. 4 + -1x + -4 + 4x2 = 4 + -4 Reorder the terms: 4 + -4 + -1x + 4x2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + -1x + 4x2 = 4 + -4 -1x + 4x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -1x + 4x2 = 0 Solving -1x + 4x2 = 0 Solving for variable 'x'. 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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