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Simplifying (3 + 7x)(8 + -1x) = 0 Multiply (3 + 7x) * (8 + -1x) (3(8 + -1x) + 7x * (8 + -1x)) = 0 ((8 * 3 + -1x * 3) + 7x * (8 + -1x)) = 0 ((24 + -3x) + 7x * (8 + -1x)) = 0 (24 + -3x + (8 * 7x + -1x * 7x)) = 0 (24 + -3x + (56x + -7x2)) = 0 Combine like terms: -3x + 56x = 53x (24 + 53x + -7x2) = 0 Solving 24 + 53x + -7x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + -1x)(3 + 7x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, -0.4285714286}
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