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Simplifying (x + 49)(x + 4) = 0 Reorder the terms: (49 + x)(x + 4) = 0 Reorder the terms: (49 + x)(4 + x) = 0 Multiply (49 + x) * (4 + x) (49(4 + x) + x(4 + x)) = 0 ((4 * 49 + x * 49) + x(4 + x)) = 0 ((196 + 49x) + x(4 + x)) = 0 (196 + 49x + (4 * x + x * x)) = 0 (196 + 49x + (4x + x2)) = 0 Combine like terms: 49x + 4x = 53x (196 + 53x + x2) = 0 Solving 196 + 53x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (49 + x)(4 + x) = 0Subproblem 1
Set the factor '(49 + x)' equal to zero and attempt to solve: Simplifying 49 + x = 0 Solving 49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x = 0 + -49 x = 0 + -49 Combine like terms: 0 + -49 = -49 x = -49 Simplifying x = -49Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-49, -4}
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