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Simplifying (3 + -8x)(7x + 5) = 0 Reorder the terms: (3 + -8x)(5 + 7x) = 0 Multiply (3 + -8x) * (5 + 7x) (3(5 + 7x) + -8x * (5 + 7x)) = 0 ((5 * 3 + 7x * 3) + -8x * (5 + 7x)) = 0 ((15 + 21x) + -8x * (5 + 7x)) = 0 (15 + 21x + (5 * -8x + 7x * -8x)) = 0 (15 + 21x + (-40x + -56x2)) = 0 Combine like terms: 21x + -40x = -19x (15 + -19x + -56x2) = 0 Solving 15 + -19x + -56x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(5 + 7x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 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 = {0.375, -0.7142857143}
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