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Simplifying -16x + x2 = 6x Solving -16x + x2 = 6x Solving for variable 'x'. Reorder the terms: -16x + -6x + x2 = 6x + -6x Combine like terms: -16x + -6x = -22x -22x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -22x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-22 + 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 '(-22 + x)' equal to zero and attempt to solve: Simplifying -22 + x = 0 Solving -22 + x = 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 + x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + x = 0 + 22 x = 0 + 22 Combine like terms: 0 + 22 = 22 x = 22 Simplifying x = 22Solution
x = {0, 22}
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