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Simplifying 7x2 + 36x + 44 = 0 Reorder the terms: 44 + 36x + 7x2 = 0 Solving 44 + 36x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (22 + 7x)(2 + x) = 0Subproblem 1
Set the factor '(22 + 7x)' equal to zero and attempt to solve: Simplifying 22 + 7x = 0 Solving 22 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 7x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 0 + -22 7x = 0 + -22 Combine like terms: 0 + -22 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143Subproblem 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 = {-3.142857143, -2}
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