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Simplifying 3x2 + -4x = 319 Reorder the terms: -4x + 3x2 = 319 Solving -4x + 3x2 = 319 Solving for variable 'x'. Reorder the terms: -319 + -4x + 3x2 = 319 + -319 Combine like terms: 319 + -319 = 0 -319 + -4x + 3x2 = 0 Factor a trinomial. (-29 + -3x)(11 + -1x) = 0Subproblem 1
Set the factor '(-29 + -3x)' equal to zero and attempt to solve: Simplifying -29 + -3x = 0 Solving -29 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -3x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -3x = 0 + 29 -3x = 0 + 29 Combine like terms: 0 + 29 = 29 -3x = 29 Divide each side by '-3'. x = -9.666666667 Simplifying x = -9.666666667Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-9.666666667, 11}
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