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Simplifying x2 + 9x = 36x Reorder the terms: 9x + x2 = 36x Solving 9x + x2 = 36x Solving for variable 'x'. Reorder the terms: 9x + -36x + x2 = 36x + -36x Combine like terms: 9x + -36x = -27x -27x + x2 = 36x + -36x Combine like terms: 36x + -36x = 0 -27x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-27 + x) = 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 '(-27 + x)' equal to zero and attempt to solve: Simplifying -27 + x = 0 Solving -27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + x = 0 + 27 x = 0 + 27 Combine like terms: 0 + 27 = 27 x = 27 Simplifying x = 27Solution
x = {0, 27}
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