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