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Simplifying (11x + 3)(11x + -3) = 121x + -9 Reorder the terms: (3 + 11x)(11x + -3) = 121x + -9 Reorder the terms: (3 + 11x)(-3 + 11x) = 121x + -9 Multiply (3 + 11x) * (-3 + 11x) (3(-3 + 11x) + 11x * (-3 + 11x)) = 121x + -9 ((-3 * 3 + 11x * 3) + 11x * (-3 + 11x)) = 121x + -9 ((-9 + 33x) + 11x * (-3 + 11x)) = 121x + -9 (-9 + 33x + (-3 * 11x + 11x * 11x)) = 121x + -9 (-9 + 33x + (-33x + 121x2)) = 121x + -9 Combine like terms: 33x + -33x = 0 (-9 + 0 + 121x2) = 121x + -9 (-9 + 121x2) = 121x + -9 Reorder the terms: -9 + 121x2 = -9 + 121x Add '9' to each side of the equation. -9 + 9 + 121x2 = -9 + 9 + 121x Combine like terms: -9 + 9 = 0 0 + 121x2 = -9 + 9 + 121x 121x2 = -9 + 9 + 121x Combine like terms: -9 + 9 = 0 121x2 = 0 + 121x 121x2 = 121x Solving 121x2 = 121x Solving for variable 'x'. Reorder the terms: -121x + 121x2 = 121x + -121x Combine like terms: 121x + -121x = 0 -121x + 121x2 = 0 Factor out the Greatest Common Factor (GCF), '121x'. 121x(-1 + x) = 0 Ignore the factor 121.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {0, 1}
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