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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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