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Simplifying (B + 7)(B + -10) = 0 Reorder the terms: (7 + B)(B + -10) = 0 Reorder the terms: (7 + B)(-10 + B) = 0 Multiply (7 + B) * (-10 + B) (7(-10 + B) + B(-10 + B)) = 0 ((-10 * 7 + B * 7) + B(-10 + B)) = 0 ((-70 + 7B) + B(-10 + B)) = 0 (-70 + 7B + (-10 * B + B * B)) = 0 (-70 + 7B + (-10B + B2)) = 0 Combine like terms: 7B + -10B = -3B (-70 + -3B + B2) = 0 Solving -70 + -3B + B2 = 0 Solving for variable 'B'. Factor a trinomial. (-7 + -1B)(10 + -1B) = 0Subproblem 1
Set the factor '(-7 + -1B)' equal to zero and attempt to solve: Simplifying -7 + -1B = 0 Solving -7 + -1B = 0 Move all terms containing B to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1B = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1B = 0 + 7 -1B = 0 + 7 Combine like terms: 0 + 7 = 7 -1B = 7 Divide each side by '-1'. B = -7 Simplifying B = -7Subproblem 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 = {-7, 10}
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