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Simplifying 10X2 + -20X + -630 = 0 Reorder the terms: -630 + -20X + 10X2 = 0 Solving -630 + -20X + 10X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '10'. 10(-63 + -2X + X2) = 0 Factor a trinomial. 10((-7 + -1X)(9 + -1X)) = 0 Ignore the factor 10.Subproblem 1
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 2
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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