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Simplifying 5(x + 6) + 2x(x + 6) = 0 Reorder the terms: 5(6 + x) + 2x(x + 6) = 0 (6 * 5 + x * 5) + 2x(x + 6) = 0 (30 + 5x) + 2x(x + 6) = 0 Reorder the terms: 30 + 5x + 2x(6 + x) = 0 30 + 5x + (6 * 2x + x * 2x) = 0 30 + 5x + (12x + 2x2) = 0 Combine like terms: 5x + 12x = 17x 30 + 17x + 2x2 = 0 Solving 30 + 17x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + x)(5 + 2x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -2.5}
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