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Simplifying 7x2 + 39x + 44 = 0 Reorder the terms: 44 + 39x + 7x2 = 0 Solving 44 + 39x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(11 + 7x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
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 = -1.571428571Solution
x = {-4, -1.571428571}
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