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Simplifying 4x(11 + -1x) = 121 (11 * 4x + -1x * 4x) = 121 (44x + -4x2) = 121 Solving 44x + -4x2 = 121 Solving for variable 'x'. Reorder the terms: -121 + 44x + -4x2 = 121 + -121 Combine like terms: 121 + -121 = 0 -121 + 44x + -4x2 = 0 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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