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Simplifying (8x + -3)(7x + 2) = 0 Reorder the terms: (-3 + 8x)(7x + 2) = 0 Reorder the terms: (-3 + 8x)(2 + 7x) = 0 Multiply (-3 + 8x) * (2 + 7x) (-3(2 + 7x) + 8x * (2 + 7x)) = 0 ((2 * -3 + 7x * -3) + 8x * (2 + 7x)) = 0 ((-6 + -21x) + 8x * (2 + 7x)) = 0 (-6 + -21x + (2 * 8x + 7x * 8x)) = 0 (-6 + -21x + (16x + 56x2)) = 0 Combine like terms: -21x + 16x = -5x (-6 + -5x + 56x2) = 0 Solving -6 + -5x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -7x)(3 + -8x) = 0Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve: Simplifying -2 + -7x = 0 Solving -2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 0 + 2 -7x = 0 + 2 Combine like terms: 0 + 2 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857Subproblem 2
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 = 0.375Solution
x = {-0.2857142857, 0.375}
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