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Simplifying 6x2 + 11x + -17 = -7 Reorder the terms: -17 + 11x + 6x2 = -7 Solving -17 + 11x + 6x2 = -7 Solving for variable 'x'. Reorder the terms: -17 + 7 + 11x + 6x2 = -7 + 7 Combine like terms: -17 + 7 = -10 -10 + 11x + 6x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -10 + 11x + 6x2 = 0 Factor a trinomial. (-5 + -2x)(2 + -3x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-2.5, 0.6666666667}
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