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Simplifying 0 = 3x2 + -65x + 250 Reorder the terms: 0 = 250 + -65x + 3x2 Solving 0 = 250 + -65x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -250 = -250 -250 + 65x + -3x2 = 250 + -65x + 3x2 + -250 + 65x + -3x2 Reorder the terms: -250 + 65x + -3x2 = 250 + -250 + -65x + 65x + 3x2 + -3x2 Combine like terms: 250 + -250 = 0 -250 + 65x + -3x2 = 0 + -65x + 65x + 3x2 + -3x2 -250 + 65x + -3x2 = -65x + 65x + 3x2 + -3x2 Combine like terms: -65x + 65x = 0 -250 + 65x + -3x2 = 0 + 3x2 + -3x2 -250 + 65x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -250 + 65x + -3x2 = 0 Factor a trinomial. (-50 + 3x)(5 + -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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {16.66666667, 5}
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