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Simplifying 7x2 + 29x + 30 = 0 Reorder the terms: 30 + 29x + 7x2 = 0 Solving 30 + 29x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + 7x)(2 + x) = 0Subproblem 1
Set the factor '(15 + 7x)' equal to zero and attempt to solve: Simplifying 15 + 7x = 0 Solving 15 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 0 + -15 7x = 0 + -15 Combine like terms: 0 + -15 = -15 7x = -15 Divide each side by '7'. x = -2.142857143 Simplifying x = -2.142857143Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2.142857143, -2}
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