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Simplifying (8x + -5)(2 + 6x) = 0 Reorder the terms: (-5 + 8x)(2 + 6x) = 0 Multiply (-5 + 8x) * (2 + 6x) (-5(2 + 6x) + 8x * (2 + 6x)) = 0 ((2 * -5 + 6x * -5) + 8x * (2 + 6x)) = 0 ((-10 + -30x) + 8x * (2 + 6x)) = 0 (-10 + -30x + (2 * 8x + 6x * 8x)) = 0 (-10 + -30x + (16x + 48x2)) = 0 Combine like terms: -30x + 16x = -14x (-10 + -14x + 48x2) = 0 Solving -10 + -14x + 48x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -7x + 24x2) = 0 Factor a trinomial. 2((-1 + -3x)(5 + -8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {-0.3333333333, 0.625}
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