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Simplifying 3x2 + 5x = 750 Reorder the terms: 5x + 3x2 = 750 Solving 5x + 3x2 = 750 Solving for variable 'x'. Reorder the terms: -750 + 5x + 3x2 = 750 + -750 Combine like terms: 750 + -750 = 0 -750 + 5x + 3x2 = 0 Factor a trinomial. (-50 + -3x)(15 + -1x) = 0Subproblem 1
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 = -16.66666667Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-16.66666667, 15}
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