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Simplifying 3x2 + 10x + -5200 = 0 Reorder the terms: -5200 + 10x + 3x2 = 0 Solving -5200 + 10x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-130 + -3x)(40 + -1x) = 0Subproblem 1
Set the factor '(-130 + -3x)' equal to zero and attempt to solve: Simplifying -130 + -3x = 0 Solving -130 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + -3x = 0 + 130 Combine like terms: -130 + 130 = 0 0 + -3x = 0 + 130 -3x = 0 + 130 Combine like terms: 0 + 130 = 130 -3x = 130 Divide each side by '-3'. x = -43.33333333 Simplifying x = -43.33333333Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-43.33333333, 40}
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