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Simplifying (2x + -3)(6x + 13) = 0 Reorder the terms: (-3 + 2x)(6x + 13) = 0 Reorder the terms: (-3 + 2x)(13 + 6x) = 0 Multiply (-3 + 2x) * (13 + 6x) (-3(13 + 6x) + 2x * (13 + 6x)) = 0 ((13 * -3 + 6x * -3) + 2x * (13 + 6x)) = 0 ((-39 + -18x) + 2x * (13 + 6x)) = 0 (-39 + -18x + (13 * 2x + 6x * 2x)) = 0 (-39 + -18x + (26x + 12x2)) = 0 Combine like terms: -18x + 26x = 8x (-39 + 8x + 12x2) = 0 Solving -39 + 8x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -6x)(3 + -2x) = 0Subproblem 1
Set the factor '(-13 + -6x)' equal to zero and attempt to solve: Simplifying -13 + -6x = 0 Solving -13 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -6x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = 0 + 13 -6x = 0 + 13 Combine like terms: 0 + 13 = 13 -6x = 13 Divide each side by '-6'. x = -2.166666667 Simplifying x = -2.166666667Subproblem 2
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 = 1.5Solution
x = {-2.166666667, 1.5}
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