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Simplifying (3x + -1)(7x + 8) = 0 Reorder the terms: (-1 + 3x)(7x + 8) = 0 Reorder the terms: (-1 + 3x)(8 + 7x) = 0 Multiply (-1 + 3x) * (8 + 7x) (-1(8 + 7x) + 3x * (8 + 7x)) = 0 ((8 * -1 + 7x * -1) + 3x * (8 + 7x)) = 0 ((-8 + -7x) + 3x * (8 + 7x)) = 0 (-8 + -7x + (8 * 3x + 7x * 3x)) = 0 (-8 + -7x + (24x + 21x2)) = 0 Combine like terms: -7x + 24x = 17x (-8 + 17x + 21x2) = 0 Solving -8 + 17x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -7x)(1 + -3x) = 0Subproblem 1
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 = -1.142857143Subproblem 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 = {-1.142857143, 0.3333333333}
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