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Simplifying (-4x + 5)(6x + 2) = 0 Reorder the terms: (5 + -4x)(6x + 2) = 0 Reorder the terms: (5 + -4x)(2 + 6x) = 0 Multiply (5 + -4x) * (2 + 6x) (5(2 + 6x) + -4x * (2 + 6x)) = 0 ((2 * 5 + 6x * 5) + -4x * (2 + 6x)) = 0 ((10 + 30x) + -4x * (2 + 6x)) = 0 (10 + 30x + (2 * -4x + 6x * -4x)) = 0 (10 + 30x + (-8x + -24x2)) = 0 Combine like terms: 30x + -8x = 22x (10 + 22x + -24x2) = 0 Solving 10 + 22x + -24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 11x + -12x2) = 0 Factor a trinomial. 2((5 + -4x)(1 + 3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
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 = -0.3333333333Solution
x = {1.25, -0.3333333333}
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