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Simplifying (x + 4)(x + 7) = 0 Reorder the terms: (4 + x)(x + 7) = 0 Reorder the terms: (4 + x)(7 + x) = 0 Multiply (4 + x) * (7 + x) (4(7 + x) + x(7 + x)) = 0 ((7 * 4 + x * 4) + x(7 + x)) = 0 ((28 + 4x) + x(7 + x)) = 0 (28 + 4x + (7 * x + x * x)) = 0 (28 + 4x + (7x + x2)) = 0 Combine like terms: 4x + 7x = 11x (28 + 11x + x2) = 0 Solving 28 + 11x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(4 + x) = 0Subproblem 1
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 = -7Subproblem 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 = {-7, -4}
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