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Simplifying (6x + 1)(3x + -2) = 0 Reorder the terms: (1 + 6x)(3x + -2) = 0 Reorder the terms: (1 + 6x)(-2 + 3x) = 0 Multiply (1 + 6x) * (-2 + 3x) (1(-2 + 3x) + 6x * (-2 + 3x)) = 0 ((-2 * 1 + 3x * 1) + 6x * (-2 + 3x)) = 0 ((-2 + 3x) + 6x * (-2 + 3x)) = 0 (-2 + 3x + (-2 * 6x + 3x * 6x)) = 0 (-2 + 3x + (-12x + 18x2)) = 0 Combine like terms: 3x + -12x = -9x (-2 + -9x + 18x2) = 0 Solving -2 + -9x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -6x)(2 + -3x) = 0Subproblem 1
Set the factor '(-1 + -6x)' equal to zero and attempt to solve: Simplifying -1 + -6x = 0 Solving -1 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -6x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6x = 0 + 1 -6x = 0 + 1 Combine like terms: 0 + 1 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {-0.1666666667, 0.6666666667}
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