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Simplifying 22x2 + 33x + 18 = 8x2 Reorder the terms: 18 + 33x + 22x2 = 8x2 Solving 18 + 33x + 22x2 = 8x2 Solving for variable 'x'. Combine like terms: 22x2 + -8x2 = 14x2 18 + 33x + 14x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 18 + 33x + 14x2 = 0 Factor a trinomial. (3 + 2x)(6 + 7x) = 0Subproblem 1
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 = -1.5Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Solution
x = {-1.5, -0.8571428571}
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