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Simplifying (1X + 4)(7X + 8) = 0 Reorder the terms: (4 + 1X)(7X + 8) = 0 Reorder the terms: (4 + 1X)(8 + 7X) = 0 Multiply (4 + 1X) * (8 + 7X) (4(8 + 7X) + 1X * (8 + 7X)) = 0 ((8 * 4 + 7X * 4) + 1X * (8 + 7X)) = 0 ((32 + 28X) + 1X * (8 + 7X)) = 0 (32 + 28X + (8 * 1X + 7X * 1X)) = 0 (32 + 28X + (8X + 7X2)) = 0 Combine like terms: 28X + 8X = 36X (32 + 36X + 7X2) = 0 Solving 32 + 36X + 7X2 = 0 Solving for variable 'X'. Factor a trinomial. (4 + X)(8 + 7X) = 0Subproblem 1
Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4Subproblem 2
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 = -1.142857143Solution
X = {-4, -1.142857143}
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