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Simplifying (b) * x2 + (b + 3) * x2 = 15x2 Multiply b * x2 bx2 + (b + 3) * x2 = 15x2 Reorder the terms: bx2 + (3 + b) * x2 = 15x2 Reorder the terms for easier multiplication: bx2 + x2(3 + b) = 15x2 bx2 + (3 * x2 + b * x2) = 15x2 Reorder the terms: bx2 + (bx2 + 3x2) = 15x2 bx2 + (bx2 + 3x2) = 15x2 Combine like terms: bx2 + bx2 = 2bx2 2bx2 + 3x2 = 15x2 Solving 2bx2 + 3x2 = 15x2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3x2' to each side of the equation. 2bx2 + 3x2 + -3x2 = 15x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 2bx2 + 0 = 15x2 + -3x2 2bx2 = 15x2 + -3x2 Combine like terms: 15x2 + -3x2 = 12x2 2bx2 = 12x2 Divide each side by '2x2'. b = 6 Simplifying b = 6
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