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Simplifying (-2x + 11)(-2x + 11) = 0 Reorder the terms: (11 + -2x)(-2x + 11) = 0 Reorder the terms: (11 + -2x)(11 + -2x) = 0 Multiply (11 + -2x) * (11 + -2x) (11(11 + -2x) + -2x * (11 + -2x)) = 0 ((11 * 11 + -2x * 11) + -2x * (11 + -2x)) = 0 ((121 + -22x) + -2x * (11 + -2x)) = 0 (121 + -22x + (11 * -2x + -2x * -2x)) = 0 (121 + -22x + (-22x + 4x2)) = 0 Combine like terms: -22x + -22x = -44x (121 + -44x + 4x2) = 0 Solving 121 + -44x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + -2x)(11 + -2x) = 0Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Solution
x = {5.5, 5.5}
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