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Simplifying 2[g(b) + 1] = x + -2x2 Multiply g * b 2[bg + 1] = x + -2x2 Reorder the terms: 2[1 + bg] = x + -2x2 [1 * 2 + bg * 2] = x + -2x2 [2 + 2bg] = x + -2x2 Solving 2 + 2bg = x + -2x2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2bg = x + -2 + -2x2 Combine like terms: 2 + -2 = 0 0 + 2bg = x + -2 + -2x2 2bg = x + -2 + -2x2 Reorder the terms: 2bg = -2 + x + -2x2 Divide each side by '2g'. b = -1g-1 + 0.5g-1x + -1g-1x2 Simplifying b = -1g-1 + 0.5g-1x + -1g-1x2
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