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Simplifying (B + -8)(B + -10) = 0 Reorder the terms: (-8 + B)(B + -10) = 0 Reorder the terms: (-8 + B)(-10 + B) = 0 Multiply (-8 + B) * (-10 + B) (-8(-10 + B) + B(-10 + B)) = 0 ((-10 * -8 + B * -8) + B(-10 + B)) = 0 ((80 + -8B) + B(-10 + B)) = 0 (80 + -8B + (-10 * B + B * B)) = 0 (80 + -8B + (-10B + B2)) = 0 Combine like terms: -8B + -10B = -18B (80 + -18B + B2) = 0 Solving 80 + -18B + B2 = 0 Solving for variable 'B'. Factor a trinomial. (8 + -1B)(10 + -1B) = 0Subproblem 1
Set the factor '(8 + -1B)' equal to zero and attempt to solve: Simplifying 8 + -1B = 0 Solving 8 + -1B = 0 Move all terms containing B to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1B = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1B = 0 + -8 -1B = 0 + -8 Combine like terms: 0 + -8 = -8 -1B = -8 Divide each side by '-1'. B = 8 Simplifying B = 8Subproblem 2
Set the factor '(10 + -1B)' equal to zero and attempt to solve: Simplifying 10 + -1B = 0 Solving 10 + -1B = 0 Move all terms containing B to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1B = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1B = 0 + -10 -1B = 0 + -10 Combine like terms: 0 + -10 = -10 -1B = -10 Divide each side by '-1'. B = 10 Simplifying B = 10Solution
B = {8, 10}
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