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Simplifying 2x(b + -2) + x(3b + 5) = 0 Reorder the terms: 2x(-2 + b) + x(3b + 5) = 0 (-2 * 2x + b * 2x) + x(3b + 5) = 0 Reorder the terms: (2bx + -4x) + x(3b + 5) = 0 (2bx + -4x) + x(3b + 5) = 0 Reorder the terms: 2bx + -4x + x(5 + 3b) = 0 2bx + -4x + (5 * x + 3b * x) = 0 Reorder the terms: 2bx + -4x + (3bx + 5x) = 0 2bx + -4x + (3bx + 5x) = 0 Reorder the terms: 2bx + 3bx + -4x + 5x = 0 Combine like terms: 2bx + 3bx = 5bx 5bx + -4x + 5x = 0 Combine like terms: -4x + 5x = 1x 5bx + 1x = 0 Solving 5bx + 1x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1x' to each side of the equation. 5bx + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 5bx + 0 = 0 + -1x 5bx = 0 + -1x Remove the zero: 5bx = -1x Divide each side by '5x'. b = -0.2 Simplifying b = -0.2
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