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Simplifying -1x2 = -10x + 24 Reorder the terms: -1x2 = 24 + -10x Solving -1x2 = 24 + -10x Solving for variable 'x'. Reorder the terms: -24 + 10x + -1x2 = 24 + -10x + -24 + 10x Reorder the terms: -24 + 10x + -1x2 = 24 + -24 + -10x + 10x Combine like terms: 24 + -24 = 0 -24 + 10x + -1x2 = 0 + -10x + 10x -24 + 10x + -1x2 = -10x + 10x Combine like terms: -10x + 10x = 0 -24 + 10x + -1x2 = 0 Factor a trinomial. (-6 + x)(4 + -1x) = 0Subproblem 1
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 = 6Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {6, 4}
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