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Simplifying 2x2 + 7x + -21 = 6 + -8x Reorder the terms: -21 + 7x + 2x2 = 6 + -8x Solving -21 + 7x + 2x2 = 6 + -8x Solving for variable 'x'. Reorder the terms: -21 + -6 + 7x + 8x + 2x2 = 6 + -8x + -6 + 8x Combine like terms: -21 + -6 = -27 -27 + 7x + 8x + 2x2 = 6 + -8x + -6 + 8x Combine like terms: 7x + 8x = 15x -27 + 15x + 2x2 = 6 + -8x + -6 + 8x Reorder the terms: -27 + 15x + 2x2 = 6 + -6 + -8x + 8x Combine like terms: 6 + -6 = 0 -27 + 15x + 2x2 = 0 + -8x + 8x -27 + 15x + 2x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -27 + 15x + 2x2 = 0 Factor a trinomial. (-9 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 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 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-9, 1.5}
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