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Simplifying x2 + 4x2 + -10x + -10x + 25 = 25 Reorder the terms: 25 + -10x + -10x + x2 + 4x2 = 25 Combine like terms: -10x + -10x = -20x 25 + -20x + x2 + 4x2 = 25 Combine like terms: x2 + 4x2 = 5x2 25 + -20x + 5x2 = 25 Add '-25' to each side of the equation. 25 + -20x + -25 + 5x2 = 25 + -25 Reorder the terms: 25 + -25 + -20x + 5x2 = 25 + -25 Combine like terms: 25 + -25 = 0 0 + -20x + 5x2 = 25 + -25 -20x + 5x2 = 25 + -25 Combine like terms: 25 + -25 = 0 -20x + 5x2 = 0 Solving -20x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-4 + x) = 0 Ignore the factor 5.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {0, 4}
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