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Simplifying 7x2 + 37x + 18 = 8 Reorder the terms: 18 + 37x + 7x2 = 8 Solving 18 + 37x + 7x2 = 8 Solving for variable 'x'. Reorder the terms: 18 + -8 + 37x + 7x2 = 8 + -8 Combine like terms: 18 + -8 = 10 10 + 37x + 7x2 = 8 + -8 Combine like terms: 8 + -8 = 0 10 + 37x + 7x2 = 0 Factor a trinomial. (5 + x)(2 + 7x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {-5, -0.2857142857}
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