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Simplifying 4x2 + -20x + 25 = 2x2 + -2x + 25 Reorder the terms: 25 + -20x + 4x2 = 2x2 + -2x + 25 Reorder the terms: 25 + -20x + 4x2 = 25 + -2x + 2x2 Add '-25' to each side of the equation. 25 + -20x + -25 + 4x2 = 25 + -2x + -25 + 2x2 Reorder the terms: 25 + -25 + -20x + 4x2 = 25 + -2x + -25 + 2x2 Combine like terms: 25 + -25 = 0 0 + -20x + 4x2 = 25 + -2x + -25 + 2x2 -20x + 4x2 = 25 + -2x + -25 + 2x2 Reorder the terms: -20x + 4x2 = 25 + -25 + -2x + 2x2 Combine like terms: 25 + -25 = 0 -20x + 4x2 = 0 + -2x + 2x2 -20x + 4x2 = -2x + 2x2 Solving -20x + 4x2 = -2x + 2x2 Solving for variable 'x'. Reorder the terms: -20x + 2x + 4x2 + -2x2 = -2x + 2x2 + 2x + -2x2 Combine like terms: -20x + 2x = -18x -18x + 4x2 + -2x2 = -2x + 2x2 + 2x + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 -18x + 2x2 = -2x + 2x2 + 2x + -2x2 Reorder the terms: -18x + 2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 -18x + 2x2 = 0 + 2x2 + -2x2 -18x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9 + x) = 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Solution
x = {0, 9}
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