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Simplifying (7x + -8)(6x + 5) = 0 Reorder the terms: (-8 + 7x)(6x + 5) = 0 Reorder the terms: (-8 + 7x)(5 + 6x) = 0 Multiply (-8 + 7x) * (5 + 6x) (-8(5 + 6x) + 7x * (5 + 6x)) = 0 ((5 * -8 + 6x * -8) + 7x * (5 + 6x)) = 0 ((-40 + -48x) + 7x * (5 + 6x)) = 0 (-40 + -48x + (5 * 7x + 6x * 7x)) = 0 (-40 + -48x + (35x + 42x2)) = 0 Combine like terms: -48x + 35x = -13x (-40 + -13x + 42x2) = 0 Solving -40 + -13x + 42x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -6x)(8 + -7x) = 0Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve: Simplifying -5 + -6x = 0 Solving -5 + -6x = 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 + -6x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = 0 + 5 -6x = 0 + 5 Combine like terms: 0 + 5 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-0.8333333333, 1.142857143}
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