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Simplifying 5x2 + -5x = x2 + 4x Reorder the terms: -5x + 5x2 = x2 + 4x Reorder the terms: -5x + 5x2 = 4x + x2 Solving -5x + 5x2 = 4x + x2 Solving for variable 'x'. Reorder the terms: -5x + -4x + 5x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: -5x + -4x = -9x -9x + 5x2 + -1x2 = 4x + x2 + -4x + -1x2 Combine like terms: 5x2 + -1x2 = 4x2 -9x + 4x2 = 4x + x2 + -4x + -1x2 Reorder the terms: -9x + 4x2 = 4x + -4x + x2 + -1x2 Combine like terms: 4x + -4x = 0 -9x + 4x2 = 0 + x2 + -1x2 -9x + 4x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-9 + 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 '(-9 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 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 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25Solution
x = {0, 2.25}
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