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Simplifying 3x2 + 70x + -2000 = 0 Reorder the terms: -2000 + 70x + 3x2 = 0 Solving -2000 + 70x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-40 + -1x)(50 + -3x) = 0Subproblem 1
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 = -40Subproblem 2
Set the factor '(50 + -3x)' equal to zero and attempt to solve: Simplifying 50 + -3x = 0 Solving 50 + -3x = 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 + -3x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -3x = 0 + -50 -3x = 0 + -50 Combine like terms: 0 + -50 = -50 -3x = -50 Divide each side by '-3'. x = 16.66666667 Simplifying x = 16.66666667Solution
x = {-40, 16.66666667}
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