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Simplifying 9x2 = 8x2 + 6x Reorder the terms: 9x2 = 6x + 8x2 Solving 9x2 = 6x + 8x2 Solving for variable 'x'. Reorder the terms: -6x + 9x2 + -8x2 = 6x + 8x2 + -6x + -8x2 Combine like terms: 9x2 + -8x2 = 1x2 -6x + 1x2 = 6x + 8x2 + -6x + -8x2 Reorder the terms: -6x + 1x2 = 6x + -6x + 8x2 + -8x2 Combine like terms: 6x + -6x = 0 -6x + 1x2 = 0 + 8x2 + -8x2 -6x + 1x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 -6x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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