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Simplifying x + 3x2 + -2 = 250 Reorder the terms: -2 + x + 3x2 = 250 Solving -2 + x + 3x2 = 250 Solving for variable 'x'. Reorder the terms: -2 + -250 + x + 3x2 = 250 + -250 Combine like terms: -2 + -250 = -252 -252 + x + 3x2 = 250 + -250 Combine like terms: 250 + -250 = 0 -252 + x + 3x2 = 0 Factor a trinomial. (-28 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(-28 + -3x)' equal to zero and attempt to solve: Simplifying -28 + -3x = 0 Solving -28 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -3x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -3x = 0 + 28 -3x = 0 + 28 Combine like terms: 0 + 28 = 28 -3x = 28 Divide each side by '-3'. x = -9.333333333 Simplifying x = -9.333333333Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-9.333333333, 9}
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