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Simplifying 2(3ab + 4bc + -2x) * x + -3x(2ab + -5cb + -4x + 2) = 0 Reorder the terms for easier multiplication: 2x(3ab + 4bc + -2x) + -3x(2ab + -5cb + -4x + 2) = 0 (3ab * 2x + 4bc * 2x + -2x * 2x) + -3x(2ab + -5cb + -4x + 2) = 0 (6abx + 8bcx + -4x2) + -3x(2ab + -5cb + -4x + 2) = 0 Reorder the terms: 6abx + 8bcx + -4x2 + -3x(2 + 2ab + -5bc + -4x) = 0 6abx + 8bcx + -4x2 + (2 * -3x + 2ab * -3x + -5bc * -3x + -4x * -3x) = 0 Reorder the terms: 6abx + 8bcx + -4x2 + (-6abx + 15bcx + -6x + 12x2) = 0 6abx + 8bcx + -4x2 + (-6abx + 15bcx + -6x + 12x2) = 0 Reorder the terms: 6abx + -6abx + 8bcx + 15bcx + -6x + -4x2 + 12x2 = 0 Combine like terms: 6abx + -6abx = 0 0 + 8bcx + 15bcx + -6x + -4x2 + 12x2 = 0 8bcx + 15bcx + -6x + -4x2 + 12x2 = 0 Combine like terms: 8bcx + 15bcx = 23bcx 23bcx + -6x + -4x2 + 12x2 = 0 Combine like terms: -4x2 + 12x2 = 8x2 23bcx + -6x + 8x2 = 0 Solving 23bcx + -6x + 8x2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6x' to each side of the equation. 23bcx + -6x + 6x + 8x2 = 0 + 6x Combine like terms: -6x + 6x = 0 23bcx + 0 + 8x2 = 0 + 6x 23bcx + 8x2 = 0 + 6x Remove the zero: 23bcx + 8x2 = 6x Add '-8x2' to each side of the equation. 23bcx + 8x2 + -8x2 = 6x + -8x2 Combine like terms: 8x2 + -8x2 = 0 23bcx + 0 = 6x + -8x2 23bcx = 6x + -8x2 Divide each side by '23cx'. b = 0.2608695652c-1 + -0.347826087c-1x Simplifying b = 0.2608695652c-1 + -0.347826087c-1x
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