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Simplifying -9x = 13x + -5x2 Solving -9x = 13x + -5x2 Solving for variable 'x'. Combine like terms: -9x + -13x = -22x -22x + 5x2 = 13x + -5x2 + -13x + 5x2 Reorder the terms: -22x + 5x2 = 13x + -13x + -5x2 + 5x2 Combine like terms: 13x + -13x = 0 -22x + 5x2 = 0 + -5x2 + 5x2 -22x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -22x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-22 + 5x) = 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 '(-22 + 5x)' equal to zero and attempt to solve: Simplifying -22 + 5x = 0 Solving -22 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 0 + 22 5x = 0 + 22 Combine like terms: 0 + 22 = 22 5x = 22 Divide each side by '5'. x = 4.4 Simplifying x = 4.4Solution
x = {0, 4.4}
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