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Simplifying 5x(x + 3) + 6(x + 3) = 0 Reorder the terms: 5x(3 + x) + 6(x + 3) = 0 (3 * 5x + x * 5x) + 6(x + 3) = 0 (15x + 5x2) + 6(x + 3) = 0 Reorder the terms: 15x + 5x2 + 6(3 + x) = 0 15x + 5x2 + (3 * 6 + x * 6) = 0 15x + 5x2 + (18 + 6x) = 0 Reorder the terms: 18 + 15x + 6x + 5x2 = 0 Combine like terms: 15x + 6x = 21x 18 + 21x + 5x2 = 0 Solving 18 + 21x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(6 + 5x) = 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 '(6 + 5x)' equal to zero and attempt to solve: Simplifying 6 + 5x = 0 Solving 6 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 0 + -6 5x = 0 + -6 Combine like terms: 0 + -6 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2Solution
x = {-3, -1.2}
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