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Simplifying 2[4(x + y) + -3(5x + -2y)] = 0 2[(x * 4 + y * 4) + -3(5x + -2y)] = 0 2[(4x + 4y) + -3(5x + -2y)] = 0 2[4x + 4y + (5x * -3 + -2y * -3)] = 0 2[4x + 4y + (-15x + 6y)] = 0 Reorder the terms: 2[4x + -15x + 4y + 6y] = 0 Combine like terms: 4x + -15x = -11x 2[-11x + 4y + 6y] = 0 Combine like terms: 4y + 6y = 10y 2[-11x + 10y] = 0 [-11x * 2 + 10y * 2] = 0 [-22x + 20y] = 0 Solving -22x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. -22x + 20y + -20y = 0 + -20y Combine like terms: 20y + -20y = 0 -22x + 0 = 0 + -20y -22x = 0 + -20y Remove the zero: -22x = -20y Divide each side by '-22'. x = 0.9090909091y Simplifying x = 0.9090909091y
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