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Simplifying 5x2 + -1x = x2 + -10x Reorder the terms: -1x + 5x2 = x2 + -10x Reorder the terms: -1x + 5x2 = -10x + x2 Solving -1x + 5x2 = -10x + x2 Solving for variable 'x'. Reorder the terms: -1x + 10x + 5x2 + -1x2 = -10x + x2 + 10x + -1x2 Combine like terms: -1x + 10x = 9x 9x + 5x2 + -1x2 = -10x + x2 + 10x + -1x2 Combine like terms: 5x2 + -1x2 = 4x2 9x + 4x2 = -10x + x2 + 10x + -1x2 Reorder the terms: 9x + 4x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 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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