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Simplifying (7x + 11)(7x + 11) = 0 Reorder the terms: (11 + 7x)(7x + 11) = 0 Reorder the terms: (11 + 7x)(11 + 7x) = 0 Multiply (11 + 7x) * (11 + 7x) (11(11 + 7x) + 7x * (11 + 7x)) = 0 ((11 * 11 + 7x * 11) + 7x * (11 + 7x)) = 0 ((121 + 77x) + 7x * (11 + 7x)) = 0 (121 + 77x + (11 * 7x + 7x * 7x)) = 0 (121 + 77x + (77x + 49x2)) = 0 Combine like terms: 77x + 77x = 154x (121 + 154x + 49x2) = 0 Solving 121 + 154x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 7x)(11 + 7x) = 0Subproblem 1
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 = -1.571428571Subproblem 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 = {-1.571428571, -1.571428571}
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