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Simplifying (4x + 11)(4x + 11) = 0 Reorder the terms: (11 + 4x)(4x + 11) = 0 Reorder the terms: (11 + 4x)(11 + 4x) = 0 Multiply (11 + 4x) * (11 + 4x) (11(11 + 4x) + 4x * (11 + 4x)) = 0 ((11 * 11 + 4x * 11) + 4x * (11 + 4x)) = 0 ((121 + 44x) + 4x * (11 + 4x)) = 0 (121 + 44x + (11 * 4x + 4x * 4x)) = 0 (121 + 44x + (44x + 16x2)) = 0 Combine like terms: 44x + 44x = 88x (121 + 88x + 16x2) = 0 Solving 121 + 88x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 4x)(11 + 4x) = 0Subproblem 1
Set the factor '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 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 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Subproblem 2
Set the factor '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 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 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Solution
x = {-2.75, -2.75}
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