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Simplifying (2b + 5)(2b + -5) = 0 Reorder the terms: (5 + 2b)(2b + -5) = 0 Reorder the terms: (5 + 2b)(-5 + 2b) = 0 Multiply (5 + 2b) * (-5 + 2b) (5(-5 + 2b) + 2b * (-5 + 2b)) = 0 ((-5 * 5 + 2b * 5) + 2b * (-5 + 2b)) = 0 ((-25 + 10b) + 2b * (-5 + 2b)) = 0 (-25 + 10b + (-5 * 2b + 2b * 2b)) = 0 (-25 + 10b + (-10b + 4b2)) = 0 Combine like terms: 10b + -10b = 0 (-25 + 0 + 4b2) = 0 (-25 + 4b2) = 0 Solving -25 + 4b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4b2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4b2 = 0 + 25 4b2 = 0 + 25 Combine like terms: 0 + 25 = 25 4b2 = 25 Divide each side by '4'. b2 = 6.25 Simplifying b2 = 6.25 Take the square root of each side: b = {-2.5, 2.5}
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