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Simplifying (3x2 + -6x + 28) + (8x2 + 8x + -76) = 0 Reorder the terms: (28 + -6x + 3x2) + (8x2 + 8x + -76) = 0 Remove parenthesis around (28 + -6x + 3x2) 28 + -6x + 3x2 + (8x2 + 8x + -76) = 0 Reorder the terms: 28 + -6x + 3x2 + (-76 + 8x + 8x2) = 0 Remove parenthesis around (-76 + 8x + 8x2) 28 + -6x + 3x2 + -76 + 8x + 8x2 = 0 Reorder the terms: 28 + -76 + -6x + 8x + 3x2 + 8x2 = 0 Combine like terms: 28 + -76 = -48 -48 + -6x + 8x + 3x2 + 8x2 = 0 Combine like terms: -6x + 8x = 2x -48 + 2x + 3x2 + 8x2 = 0 Combine like terms: 3x2 + 8x2 = 11x2 -48 + 2x + 11x2 = 0 Solving -48 + 2x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-24 + -11x)(2 + -1x) = 0Subproblem 1
Set the factor '(-24 + -11x)' equal to zero and attempt to solve: Simplifying -24 + -11x = 0 Solving -24 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -11x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -11x = 0 + 24 -11x = 0 + 24 Combine like terms: 0 + 24 = 24 -11x = 24 Divide each side by '-11'. x = -2.181818182 Simplifying x = -2.181818182Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.181818182, 2}
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