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Simplifying 3x2 + 20x + -175 = 0 Reorder the terms: -175 + 20x + 3x2 = 0 Solving -175 + 20x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-35 + -3x)(5 + -1x) = 0Subproblem 1
Set the factor '(-35 + -3x)' equal to zero and attempt to solve: Simplifying -35 + -3x = 0 Solving -35 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -3x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 0 + 35 -3x = 0 + 35 Combine like terms: 0 + 35 = 35 -3x = 35 Divide each side by '-3'. x = -11.66666667 Simplifying x = -11.66666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-11.66666667, 5}
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