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Simplifying x2 + -12x + -1260 = 0 Reorder the terms: -1260 + -12x + x2 = 0 Solving -1260 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-30 + -1x)(42 + -1x) = 0Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve: Simplifying 42 + -1x = 0 Solving 42 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 0 + -42 -1x = 0 + -42 Combine like terms: 0 + -42 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42Solution
x = {-30, 42}
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