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Simplifying (7x + -5)(3x + 8) = 0 Reorder the terms: (-5 + 7x)(3x + 8) = 0 Reorder the terms: (-5 + 7x)(8 + 3x) = 0 Multiply (-5 + 7x) * (8 + 3x) (-5(8 + 3x) + 7x * (8 + 3x)) = 0 ((8 * -5 + 3x * -5) + 7x * (8 + 3x)) = 0 ((-40 + -15x) + 7x * (8 + 3x)) = 0 (-40 + -15x + (8 * 7x + 3x * 7x)) = 0 (-40 + -15x + (56x + 21x2)) = 0 Combine like terms: -15x + 56x = 41x (-40 + 41x + 21x2) = 0 Solving -40 + 41x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -3x)(5 + -7x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 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 = {-2.666666667, 0.7142857143}
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