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Simplifying 3500 + 80x + -3x2 = 0 Solving 3500 + 80x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (50 + -1x)(70 + 3x) = 0Subproblem 1
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 = 50Subproblem 2
Set the factor '(70 + 3x)' equal to zero and attempt to solve: Simplifying 70 + 3x = 0 Solving 70 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 3x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 3x = 0 + -70 3x = 0 + -70 Combine like terms: 0 + -70 = -70 3x = -70 Divide each side by '3'. x = -23.33333333 Simplifying x = -23.33333333Solution
x = {50, -23.33333333}
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