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Simplifying 3x2 + 5x = 350 Reorder the terms: 5x + 3x2 = 350 Solving 5x + 3x2 = 350 Solving for variable 'x'. Reorder the terms: -350 + 5x + 3x2 = 350 + -350 Combine like terms: 350 + -350 = 0 -350 + 5x + 3x2 = 0 Factor a trinomial. (-35 + -3x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-11.66666667, 10}
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