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Simplifying (4b + -3)(b + 1) = 4b2 Reorder the terms: (-3 + 4b)(b + 1) = 4b2 Reorder the terms: (-3 + 4b)(1 + b) = 4b2 Multiply (-3 + 4b) * (1 + b) (-3(1 + b) + 4b * (1 + b)) = 4b2 ((1 * -3 + b * -3) + 4b * (1 + b)) = 4b2 ((-3 + -3b) + 4b * (1 + b)) = 4b2 (-3 + -3b + (1 * 4b + b * 4b)) = 4b2 (-3 + -3b + (4b + 4b2)) = 4b2 Combine like terms: -3b + 4b = 1b (-3 + 1b + 4b2) = 4b2 Add '-4b2' to each side of the equation. -3 + 1b + 4b2 + -4b2 = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -3 + 1b + 0 = 4b2 + -4b2 -3 + 1b = 4b2 + -4b2 Combine like terms: 4b2 + -4b2 = 0 -3 + 1b = 0 Solving -3 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 1b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1b = 0 + 3 1b = 0 + 3 Combine like terms: 0 + 3 = 3 1b = 3 Divide each side by '1'. b = 3 Simplifying b = 3
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