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Simplifying 5x10 + -10x9 + -315x8 = 0 Reorder the terms: -315x8 + -10x9 + 5x10 = 0 Solving -315x8 + -10x9 + 5x10 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x8'. 5x8(-63 + -2x + x2) = 0 Factor a trinomial. 5x8((-7 + -1x)(9 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x8' equal to zero and attempt to solve: Simplifying x8 = 0 Solving x8 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x8 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-7, 9}
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