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Simplifying (3x + -11)(6x + 1) = 0 Reorder the terms: (-11 + 3x)(6x + 1) = 0 Reorder the terms: (-11 + 3x)(1 + 6x) = 0 Multiply (-11 + 3x) * (1 + 6x) (-11(1 + 6x) + 3x * (1 + 6x)) = 0 ((1 * -11 + 6x * -11) + 3x * (1 + 6x)) = 0 ((-11 + -66x) + 3x * (1 + 6x)) = 0 (-11 + -66x + (1 * 3x + 6x * 3x)) = 0 (-11 + -66x + (3x + 18x2)) = 0 Combine like terms: -66x + 3x = -63x (-11 + -63x + 18x2) = 0 Solving -11 + -63x + 18x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -6x)(11 + -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 '(11 + -3x)' equal to zero and attempt to solve: Simplifying 11 + -3x = 0 Solving 11 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 0 + -11 -3x = 0 + -11 Combine like terms: 0 + -11 = -11 -3x = -11 Divide each side by '-3'. x = 3.666666667 Simplifying x = 3.666666667Solution
x = {-0.1666666667, 3.666666667}
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