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Simplifying
(4b + 5f)(4b + -5f) = 0
Multiply (4b + 5f) * (4b + -5f)
(4b * (4b + -5f) + 5f * (4b + -5f)) = 0
((4b * 4b + -5f * 4b) + 5f * (4b + -5f)) = 0
Reorder the terms:
((-20bf + 16b2) + 5f * (4b + -5f)) = 0
((-20bf + 16b2) + 5f * (4b + -5f)) = 0
(-20bf + 16b2 + (4b * 5f + -5f * 5f)) = 0
(-20bf + 16b2 + (20bf + -25f2)) = 0
Reorder the terms:
(-20bf + 20bf + 16b2 + -25f2) = 0
Combine like terms: -20bf + 20bf = 0
(0 + 16b2 + -25f2) = 0
(16b2 + -25f2) = 0
Solving
16b2 + -25f2 = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '25f2' to each side of the equation.
16b2 + -25f2 + 25f2 = 0 + 25f2
Combine like terms: -25f2 + 25f2 = 0
16b2 + 0 = 0 + 25f2
16b2 = 0 + 25f2
Remove the zero:
16b2 = 25f2
Divide each side by '16'.
b2 = 1.5625f2
Simplifying
b2 = 1.5625f2
Take the square root of each side:
b = {-1.25f, 1.25f}
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