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Simplifying
(5b + 4p)(5b + -4p) = 0
Multiply (5b + 4p) * (5b + -4p)
(5b * (5b + -4p) + 4p * (5b + -4p)) = 0
((5b * 5b + -4p * 5b) + 4p * (5b + -4p)) = 0
Reorder the terms:
((-20bp + 25b2) + 4p * (5b + -4p)) = 0
((-20bp + 25b2) + 4p * (5b + -4p)) = 0
(-20bp + 25b2 + (5b * 4p + -4p * 4p)) = 0
(-20bp + 25b2 + (20bp + -16p2)) = 0
Reorder the terms:
(-20bp + 20bp + 25b2 + -16p2) = 0
Combine like terms: -20bp + 20bp = 0
(0 + 25b2 + -16p2) = 0
(25b2 + -16p2) = 0
Solving
25b2 + -16p2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '16p2' to each side of the equation.
25b2 + -16p2 + 16p2 = 0 + 16p2
Combine like terms: -16p2 + 16p2 = 0
25b2 + 0 = 0 + 16p2
25b2 = 0 + 16p2
Remove the zero:
25b2 = 16p2
Divide each side by '25'.
b2 = 0.64p2
Simplifying
b2 = 0.64p2
Take the square root of each side:
b = {-0.8p, 0.8p}
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