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Simplifying (5x + -6)(6x + 1) = 0 Reorder the terms: (-6 + 5x)(6x + 1) = 0 Reorder the terms: (-6 + 5x)(1 + 6x) = 0 Multiply (-6 + 5x) * (1 + 6x) (-6(1 + 6x) + 5x * (1 + 6x)) = 0 ((1 * -6 + 6x * -6) + 5x * (1 + 6x)) = 0 ((-6 + -36x) + 5x * (1 + 6x)) = 0 (-6 + -36x + (1 * 5x + 6x * 5x)) = 0 (-6 + -36x + (5x + 30x2)) = 0 Combine like terms: -36x + 5x = -31x (-6 + -31x + 30x2) = 0 Solving -6 + -31x + 30x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -6x)(6 + -5x) = 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 '(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 = {-0.1666666667, 1.2}
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