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Simplifying 14x2 + 36x + 22 = 0 Reorder the terms: 22 + 36x + 14x2 = 0 Solving 22 + 36x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(11 + 18x + 7x2) = 0 Factor a trinomial. 2((11 + 7x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 7x)' equal to zero and attempt to solve: Simplifying 11 + 7x = 0 Solving 11 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = 0 + -11 7x = 0 + -11 Combine like terms: 0 + -11 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-1.571428571, -1}
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