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Simplifying 2x(x + 3) + 5(x + 3) = 0 Reorder the terms: 2x(3 + x) + 5(x + 3) = 0 (3 * 2x + x * 2x) + 5(x + 3) = 0 (6x + 2x2) + 5(x + 3) = 0 Reorder the terms: 6x + 2x2 + 5(3 + x) = 0 6x + 2x2 + (3 * 5 + x * 5) = 0 6x + 2x2 + (15 + 5x) = 0 Reorder the terms: 15 + 6x + 5x + 2x2 = 0 Combine like terms: 6x + 5x = 11x 15 + 11x + 2x2 = 0 Solving 15 + 11x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(5 + 2x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
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 = -2.5Solution
x = {-3, -2.5}
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