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Simplifying (36x2 + 24x + -96) + (x2 + 5x + 6) = 0 Reorder the terms: (-96 + 24x + 36x2) + (x2 + 5x + 6) = 0 Remove parenthesis around (-96 + 24x + 36x2) -96 + 24x + 36x2 + (x2 + 5x + 6) = 0 Reorder the terms: -96 + 24x + 36x2 + (6 + 5x + x2) = 0 Remove parenthesis around (6 + 5x + x2) -96 + 24x + 36x2 + 6 + 5x + x2 = 0 Reorder the terms: -96 + 6 + 24x + 5x + 36x2 + x2 = 0 Combine like terms: -96 + 6 = -90 -90 + 24x + 5x + 36x2 + x2 = 0 Combine like terms: 24x + 5x = 29x -90 + 29x + 36x2 + x2 = 0 Combine like terms: 36x2 + x2 = 37x2 -90 + 29x + 37x2 = 0 Solving -90 + 29x + 37x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(45 + -37x) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(45 + -37x)' equal to zero and attempt to solve: Simplifying 45 + -37x = 0 Solving 45 + -37x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -37x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -37x = 0 + -45 -37x = 0 + -45 Combine like terms: 0 + -45 = -45 -37x = -45 Divide each side by '-37'. x = 1.216216216 Simplifying x = 1.216216216Solution
x = {-2, 1.216216216}
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