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Simplifying
(3b + 5p)(3b + -5p) = 0
Multiply (3b + 5p) * (3b + -5p)
(3b * (3b + -5p) + 5p * (3b + -5p)) = 0
((3b * 3b + -5p * 3b) + 5p * (3b + -5p)) = 0
Reorder the terms:
((-15bp + 9b2) + 5p * (3b + -5p)) = 0
((-15bp + 9b2) + 5p * (3b + -5p)) = 0
(-15bp + 9b2 + (3b * 5p + -5p * 5p)) = 0
(-15bp + 9b2 + (15bp + -25p2)) = 0
Reorder the terms:
(-15bp + 15bp + 9b2 + -25p2) = 0
Combine like terms: -15bp + 15bp = 0
(0 + 9b2 + -25p2) = 0
(9b2 + -25p2) = 0
Solving
9b2 + -25p2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '25p2' to each side of the equation.
9b2 + -25p2 + 25p2 = 0 + 25p2
Combine like terms: -25p2 + 25p2 = 0
9b2 + 0 = 0 + 25p2
9b2 = 0 + 25p2
Remove the zero:
9b2 = 25p2
Divide each side by '9'.
b2 = 2.777777778p2
Simplifying
b2 = 2.777777778p2
Take the square root of each side:
b = {-1.666666667p, 1.666666667p}
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