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Simplifying 7((x2) + -24x) = 49x 7(x2 + -24x) = 49x Reorder the terms: 7(-24x + x2) = 49x (-24x * 7 + x2 * 7) = 49x (-168x + 7x2) = 49x Solving -168x + 7x2 = 49x Solving for variable 'x'. Reorder the terms: -168x + -49x + 7x2 = 49x + -49x Combine like terms: -168x + -49x = -217x -217x + 7x2 = 49x + -49x Combine like terms: 49x + -49x = 0 -217x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-31 + x) = 0 Ignore the factor 7.Subproblem 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 '(-31 + x)' equal to zero and attempt to solve: Simplifying -31 + x = 0 Solving -31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + x = 0 + 31 x = 0 + 31 Combine like terms: 0 + 31 = 31 x = 31 Simplifying x = 31Solution
x = {0, 31}
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