(B+7)(B+-10)=0

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Solution for (B+7)(B+-10)=0 equation:


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) = 0

Subproblem 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 = -7

Subproblem 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 = 10

Solution

B = {-7, 10}

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