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Simplifying 0 = x2 + -9x + -70 Reorder the terms: 0 = -70 + -9x + x2 Solving 0 = -70 + -9x + x2 Solving for variable 'x'. Combine like terms: 0 + 70 = 70 70 + 9x + -1x2 = -70 + -9x + x2 + 70 + 9x + -1x2 Reorder the terms: 70 + 9x + -1x2 = -70 + 70 + -9x + 9x + x2 + -1x2 Combine like terms: -70 + 70 = 0 70 + 9x + -1x2 = 0 + -9x + 9x + x2 + -1x2 70 + 9x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 70 + 9x + -1x2 = 0 + x2 + -1x2 70 + 9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 70 + 9x + -1x2 = 0 Factor a trinomial. (14 + -1x)(5 + x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {14, -5}
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