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Simplifying -1(2x + 3)(7x + 6) = 0 Reorder the terms: -1(3 + 2x)(7x + 6) = 0 Reorder the terms: -1(3 + 2x)(6 + 7x) = 0 Multiply (3 + 2x) * (6 + 7x) -1(3(6 + 7x) + 2x * (6 + 7x)) = 0 -1((6 * 3 + 7x * 3) + 2x * (6 + 7x)) = 0 -1((18 + 21x) + 2x * (6 + 7x)) = 0 -1(18 + 21x + (6 * 2x + 7x * 2x)) = 0 -1(18 + 21x + (12x + 14x2)) = 0 Combine like terms: 21x + 12x = 33x -1(18 + 33x + 14x2) = 0 (18 * -1 + 33x * -1 + 14x2 * -1) = 0 (-18 + -33x + -14x2) = 0 Solving -18 + -33x + -14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 33x + 14x2) = 0 Factor a trinomial. -1((3 + 2x)(6 + 7x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 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 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Solution
x = {-1.5, -0.8571428571}
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