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Simplifying (7x + -5)(6x + 8) = 0 Reorder the terms: (-5 + 7x)(6x + 8) = 0 Reorder the terms: (-5 + 7x)(8 + 6x) = 0 Multiply (-5 + 7x) * (8 + 6x) (-5(8 + 6x) + 7x * (8 + 6x)) = 0 ((8 * -5 + 6x * -5) + 7x * (8 + 6x)) = 0 ((-40 + -30x) + 7x * (8 + 6x)) = 0 (-40 + -30x + (8 * 7x + 6x * 7x)) = 0 (-40 + -30x + (56x + 42x2)) = 0 Combine like terms: -30x + 56x = 26x (-40 + 26x + 42x2) = 0 Solving -40 + 26x + 42x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 13x + 21x2) = 0 Factor a trinomial. 2((-4 + -3x)(5 + -7x)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.333333333Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {-1.333333333, 0.7142857143}
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