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Simplifying (x + 2)(2x + 5) = 0 Reorder the terms: (2 + x)(2x + 5) = 0 Reorder the terms: (2 + x)(5 + 2x) = 0 Multiply (2 + x) * (5 + 2x) (2(5 + 2x) + x(5 + 2x)) = 0 ((5 * 2 + 2x * 2) + x(5 + 2x)) = 0 ((10 + 4x) + x(5 + 2x)) = 0 (10 + 4x + (5 * x + 2x * x)) = 0 (10 + 4x + (5x + 2x2)) = 0 Combine like terms: 4x + 5x = 9x (10 + 9x + 2x2) = 0 Solving 10 + 9x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + 2x)(2 + x) = 0Subproblem 1
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2.5, -2}
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