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Simplifying 5x(b2 + 1) + (x2 + 1)(b2 + 1) = 0 Reorder the terms: 5x(1 + b2) + (x2 + 1)(b2 + 1) = 0 (1 * 5x + b2 * 5x) + (x2 + 1)(b2 + 1) = 0 Reorder the terms: (5b2x + 5x) + (x2 + 1)(b2 + 1) = 0 (5b2x + 5x) + (x2 + 1)(b2 + 1) = 0 Reorder the terms: 5b2x + 5x + (1 + x2)(b2 + 1) = 0 Reorder the terms: 5b2x + 5x + (1 + x2)(1 + b2) = 0 Multiply (1 + x2) * (1 + b2) 5b2x + 5x + (1(1 + b2) + x2(1 + b2)) = 0 5b2x + 5x + ((1 * 1 + b2 * 1) + x2(1 + b2)) = 0 5b2x + 5x + ((1 + 1b2) + x2(1 + b2)) = 0 5b2x + 5x + (1 + 1b2 + (1 * x2 + b2 * x2)) = 0 Reorder the terms: 5b2x + 5x + (1 + 1b2 + (b2x2 + 1x2)) = 0 5b2x + 5x + (1 + 1b2 + (b2x2 + 1x2)) = 0 5b2x + 5x + (1 + 1b2 + b2x2 + 1x2) = 0 Reorder the terms: 1 + 1b2 + 5b2x + b2x2 + 5x + 1x2 = 0 Solving 1 + 1b2 + 5b2x + b2x2 + 5x + 1x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 1b2 + 5b2x + b2x2 + 5x + -1 + 1x2 = 0 + -1 Reorder the terms: 1 + -1 + 1b2 + 5b2x + b2x2 + 5x + 1x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1b2 + 5b2x + b2x2 + 5x + 1x2 = 0 + -1 1b2 + 5b2x + b2x2 + 5x + 1x2 = 0 + -1 Combine like terms: 0 + -1 = -1 1b2 + 5b2x + b2x2 + 5x + 1x2 = -1 Add '-5x' to each side of the equation. 1b2 + 5b2x + b2x2 + 5x + -5x + 1x2 = -1 + -5x Combine like terms: 5x + -5x = 0 1b2 + 5b2x + b2x2 + 0 + 1x2 = -1 + -5x 1b2 + 5b2x + b2x2 + 1x2 = -1 + -5x Add '-1x2' to each side of the equation. 1b2 + 5b2x + b2x2 + 1x2 + -1x2 = -1 + -5x + -1x2 Combine like terms: 1x2 + -1x2 = 0 1b2 + 5b2x + b2x2 + 0 = -1 + -5x + -1x2 1b2 + 5b2x + b2x2 = -1 + -5x + -1x2 Reorder the terms: 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = -1 + -5x + -1x2 + 1 + 5x + x2 Reorder the terms: 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = -1 + 1 + -5x + 5x + -1x2 + x2 Combine like terms: -1 + 1 = 0 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = 0 + -5x + 5x + -1x2 + x2 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = -5x + 5x + -1x2 + x2 Combine like terms: -5x + 5x = 0 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = 0 + -1x2 + x2 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1 + 1b2 + 5b2x + b2x2 + 5x + x2 = 0 The solution to this equation could not be determined.
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