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Simplifying (x + 35)(x + 7) = 0 Reorder the terms: (35 + x)(x + 7) = 0 Reorder the terms: (35 + x)(7 + x) = 0 Multiply (35 + x) * (7 + x) (35(7 + x) + x(7 + x)) = 0 ((7 * 35 + x * 35) + x(7 + x)) = 0 ((245 + 35x) + x(7 + x)) = 0 (245 + 35x + (7 * x + x * x)) = 0 (245 + 35x + (7x + x2)) = 0 Combine like terms: 35x + 7x = 42x (245 + 42x + x2) = 0 Solving 245 + 42x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (35 + x)(7 + x) = 0Subproblem 1
Set the factor '(35 + x)' equal to zero and attempt to solve: Simplifying 35 + x = 0 Solving 35 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + x = 0 + -35 x = 0 + -35 Combine like terms: 0 + -35 = -35 x = -35 Simplifying x = -35Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-35, -7}
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