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Simplifying (-2x + 3)(5x + 6) = 0 Reorder the terms: (3 + -2x)(5x + 6) = 0 Reorder the terms: (3 + -2x)(6 + 5x) = 0 Multiply (3 + -2x) * (6 + 5x) (3(6 + 5x) + -2x * (6 + 5x)) = 0 ((6 * 3 + 5x * 3) + -2x * (6 + 5x)) = 0 ((18 + 15x) + -2x * (6 + 5x)) = 0 (18 + 15x + (6 * -2x + 5x * -2x)) = 0 (18 + 15x + (-12x + -10x2)) = 0 Combine like terms: 15x + -12x = 3x (18 + 3x + -10x2) = 0 Solving 18 + 3x + -10x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -2x)(6 + 5x) = 0Subproblem 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 + 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 = {1.5, -1.2}
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