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Simplifying (5b + -3)(5b + 3) = 0 Reorder the terms: (-3 + 5b)(5b + 3) = 0 Reorder the terms: (-3 + 5b)(3 + 5b) = 0 Multiply (-3 + 5b) * (3 + 5b) (-3(3 + 5b) + 5b * (3 + 5b)) = 0 ((3 * -3 + 5b * -3) + 5b * (3 + 5b)) = 0 ((-9 + -15b) + 5b * (3 + 5b)) = 0 (-9 + -15b + (3 * 5b + 5b * 5b)) = 0 (-9 + -15b + (15b + 25b2)) = 0 Combine like terms: -15b + 15b = 0 (-9 + 0 + 25b2) = 0 (-9 + 25b2) = 0 Solving -9 + 25b2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 25b2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 25b2 = 0 + 9 25b2 = 0 + 9 Combine like terms: 0 + 9 = 9 25b2 = 9 Divide each side by '25'. b2 = 0.36 Simplifying b2 = 0.36 Take the square root of each side: b = {-0.6, 0.6}
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