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Simplifying 0 = x2 + 20x + -189 Reorder the terms: 0 = -189 + 20x + x2 Solving 0 = -189 + 20x + x2 Solving for variable 'x'. Combine like terms: 0 + 189 = 189 189 + -20x + -1x2 = -189 + 20x + x2 + 189 + -20x + -1x2 Reorder the terms: 189 + -20x + -1x2 = -189 + 189 + 20x + -20x + x2 + -1x2 Combine like terms: -189 + 189 = 0 189 + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2 189 + -20x + -1x2 = 20x + -20x + x2 + -1x2 Combine like terms: 20x + -20x = 0 189 + -20x + -1x2 = 0 + x2 + -1x2 189 + -20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 189 + -20x + -1x2 = 0 Factor a trinomial. (7 + -1x)(27 + x) = 0Subproblem 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 '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Solution
x = {7, -27}
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