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Simplifying 7x2 + 37x + 30 = 0 Reorder the terms: 30 + 37x + 7x2 = 0 Solving 30 + 37x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (30 + 7x)(1 + x) = 0Subproblem 1
Set the factor '(30 + 7x)' equal to zero and attempt to solve: Simplifying 30 + 7x = 0 Solving 30 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286Subproblem 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 = {-4.285714286, -1}
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