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Simplifying -7x2 + -34 = -11x2 + -11x + 11 Reorder the terms: -34 + -7x2 = -11x2 + -11x + 11 Reorder the terms: -34 + -7x2 = 11 + -11x + -11x2 Solving -34 + -7x2 = 11 + -11x + -11x2 Solving for variable 'x'. Reorder the terms: -34 + -11 + 11x + -7x2 + 11x2 = 11 + -11x + -11x2 + -11 + 11x + 11x2 Combine like terms: -34 + -11 = -45 -45 + 11x + -7x2 + 11x2 = 11 + -11x + -11x2 + -11 + 11x + 11x2 Combine like terms: -7x2 + 11x2 = 4x2 -45 + 11x + 4x2 = 11 + -11x + -11x2 + -11 + 11x + 11x2 Reorder the terms: -45 + 11x + 4x2 = 11 + -11 + -11x + 11x + -11x2 + 11x2 Combine like terms: 11 + -11 = 0 -45 + 11x + 4x2 = 0 + -11x + 11x + -11x2 + 11x2 -45 + 11x + 4x2 = -11x + 11x + -11x2 + 11x2 Combine like terms: -11x + 11x = 0 -45 + 11x + 4x2 = 0 + -11x2 + 11x2 -45 + 11x + 4x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -45 + 11x + 4x2 = 0 Factor a trinomial. (-5 + -1x)(9 + -4x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-5, 2.25}
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