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Simplifying (x + 55)(x + 68) = 0 Reorder the terms: (55 + x)(x + 68) = 0 Reorder the terms: (55 + x)(68 + x) = 0 Multiply (55 + x) * (68 + x) (55(68 + x) + x(68 + x)) = 0 ((68 * 55 + x * 55) + x(68 + x)) = 0 ((3740 + 55x) + x(68 + x)) = 0 (3740 + 55x + (68 * x + x * x)) = 0 (3740 + 55x + (68x + x2)) = 0 Combine like terms: 55x + 68x = 123x (3740 + 123x + x2) = 0 Solving 3740 + 123x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (68 + x)(55 + x) = 0Subproblem 1
Set the factor '(68 + x)' equal to zero and attempt to solve: Simplifying 68 + x = 0 Solving 68 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + x = 0 + -68 x = 0 + -68 Combine like terms: 0 + -68 = -68 x = -68 Simplifying x = -68Subproblem 2
Set the factor '(55 + x)' equal to zero and attempt to solve: Simplifying 55 + x = 0 Solving 55 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + x = 0 + -55 x = 0 + -55 Combine like terms: 0 + -55 = -55 x = -55 Simplifying x = -55Solution
x = {-68, -55}
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