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Simplifying X2 + -10X + -600 = 0 Reorder the terms: -600 + -10X + X2 = 0 Solving -600 + -10X + X2 = 0 Solving for variable 'X'. Factor a trinomial. (-20 + -1X)(30 + -1X) = 0Subproblem 1
Set the factor '(-20 + -1X)' equal to zero and attempt to solve: Simplifying -20 + -1X = 0 Solving -20 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1X = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1X = 0 + 20 -1X = 0 + 20 Combine like terms: 0 + 20 = 20 -1X = 20 Divide each side by '-1'. X = -20 Simplifying X = -20Subproblem 2
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 = 30Solution
X = {-20, 30}
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