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Simplifying (6x + -8)(9x + 1) = 0 Reorder the terms: (-8 + 6x)(9x + 1) = 0 Reorder the terms: (-8 + 6x)(1 + 9x) = 0 Multiply (-8 + 6x) * (1 + 9x) (-8(1 + 9x) + 6x * (1 + 9x)) = 0 ((1 * -8 + 9x * -8) + 6x * (1 + 9x)) = 0 ((-8 + -72x) + 6x * (1 + 9x)) = 0 (-8 + -72x + (1 * 6x + 9x * 6x)) = 0 (-8 + -72x + (6x + 54x2)) = 0 Combine like terms: -72x + 6x = -66x (-8 + -66x + 54x2) = 0 Solving -8 + -66x + 54x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -33x + 27x2) = 0 Factor a trinomial. 2((-1 + -9x)(4 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-0.1111111111, 1.333333333}
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