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Simplifying (2x2 + 6x + -9) + (7x + -8x2 + 4) = 0 Reorder the terms: (-9 + 6x + 2x2) + (7x + -8x2 + 4) = 0 Remove parenthesis around (-9 + 6x + 2x2) -9 + 6x + 2x2 + (7x + -8x2 + 4) = 0 Reorder the terms: -9 + 6x + 2x2 + (4 + 7x + -8x2) = 0 Remove parenthesis around (4 + 7x + -8x2) -9 + 6x + 2x2 + 4 + 7x + -8x2 = 0 Reorder the terms: -9 + 4 + 6x + 7x + 2x2 + -8x2 = 0 Combine like terms: -9 + 4 = -5 -5 + 6x + 7x + 2x2 + -8x2 = 0 Combine like terms: 6x + 7x = 13x -5 + 13x + 2x2 + -8x2 = 0 Combine like terms: 2x2 + -8x2 = -6x2 -5 + 13x + -6x2 = 0 Solving -5 + 13x + -6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 3x)(1 + -2x) = 0Subproblem 1
Set the factor '(-5 + 3x)' equal to zero and attempt to solve: Simplifying -5 + 3x = 0 Solving -5 + 3x = 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 + 3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 0 + 5 3x = 0 + 5 Combine like terms: 0 + 5 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {1.666666667, 0.5}
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