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Simplifying (7x + -3)(8x + 1) = 0 Reorder the terms: (-3 + 7x)(8x + 1) = 0 Reorder the terms: (-3 + 7x)(1 + 8x) = 0 Multiply (-3 + 7x) * (1 + 8x) (-3(1 + 8x) + 7x * (1 + 8x)) = 0 ((1 * -3 + 8x * -3) + 7x * (1 + 8x)) = 0 ((-3 + -24x) + 7x * (1 + 8x)) = 0 (-3 + -24x + (1 * 7x + 8x * 7x)) = 0 (-3 + -24x + (7x + 56x2)) = 0 Combine like terms: -24x + 7x = -17x (-3 + -17x + 56x2) = 0 Solving -3 + -17x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -8x)(3 + -7x) = 0Subproblem 1
Set the factor '(-1 + -8x)' equal to zero and attempt to solve: Simplifying -1 + -8x = 0 Solving -1 + -8x = 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 + -8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = 0 + 1 -8x = 0 + 1 Combine like terms: 0 + 1 = 1 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-0.125, 0.4285714286}
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