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Simplifying f(0) = 2x2 + -4x Reorder the terms for easier multiplication: 0f = 2x2 + -4x Anything times zero is zero. 0f = 2x2 + -4x Reorder the terms: 0 = -4x + 2x2 Solving 0 = -4x + 2x2 Solving for variable 'x'. Remove the zero: 4x + -2x2 = -4x + 2x2 + 4x + -2x2 Reorder the terms: 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 4x + -2x2 = 0 + 2x2 + -2x2 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 4x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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