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Simplifying (2000 + 70x + -3x2) = 0 Remove parenthesis around (2000 + 70x + -3x2) 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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