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Simplifying 4x2 + -15 + 17 = 2x + 2 Reorder the terms: -15 + 17 + 4x2 = 2x + 2 Combine like terms: -15 + 17 = 2 2 + 4x2 = 2x + 2 Reorder the terms: 2 + 4x2 = 2 + 2x Add '-2' to each side of the equation. 2 + -2 + 4x2 = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 0 + 4x2 = 2 + -2 + 2x 4x2 = 2 + -2 + 2x Combine like terms: 2 + -2 = 0 4x2 = 0 + 2x 4x2 = 2x Solving 4x2 = 2x Solving for variable 'x'. Reorder the terms: -2x + 4x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -2x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + 2x) = 0 Ignore the factor 2.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 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5Solution
x = {0, 0.5}
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