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Simplifying 3x2 + -130x + -1000 = 0 Reorder the terms: -1000 + -130x + 3x2 = 0 Solving -1000 + -130x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-20 + -3x)(50 + -1x) = 0Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve: Simplifying -20 + -3x = 0 Solving -20 + -3x = 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 + -3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = 0 + 20 -3x = 0 + 20 Combine like terms: 0 + 20 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {-6.666666667, 50}
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