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Simplifying -6x2 + 17x + -4 + -3x2 + 8 + -12x = 0 Reorder the terms: -4 + 8 + 17x + -12x + -6x2 + -3x2 = 0 Combine like terms: -4 + 8 = 4 4 + 17x + -12x + -6x2 + -3x2 = 0 Combine like terms: 17x + -12x = 5x 4 + 5x + -6x2 + -3x2 = 0 Combine like terms: -6x2 + -3x2 = -9x2 4 + 5x + -9x2 = 0 Solving 4 + 5x + -9x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(4 + 9x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve: Simplifying 4 + 9x = 0 Solving 4 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444Solution
x = {1, -0.4444444444}
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