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Simplifying 6x2 + 23x + 27 = 6 Reorder the terms: 27 + 23x + 6x2 = 6 Solving 27 + 23x + 6x2 = 6 Solving for variable 'x'. Reorder the terms: 27 + -6 + 23x + 6x2 = 6 + -6 Combine like terms: 27 + -6 = 21 21 + 23x + 6x2 = 6 + -6 Combine like terms: 6 + -6 = 0 21 + 23x + 6x2 = 0 Factor a trinomial. (7 + 3x)(3 + 2x) = 0Subproblem 1
Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 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 = {-2.333333333, -1.5}
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