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Simplifying 2[2(x + y) + -4(6x + 5y)] = 0 2[(x * 2 + y * 2) + -4(6x + 5y)] = 0 2[(2x + 2y) + -4(6x + 5y)] = 0 2[2x + 2y + (6x * -4 + 5y * -4)] = 0 2[2x + 2y + (-24x + -20y)] = 0 Reorder the terms: 2[2x + -24x + 2y + -20y] = 0 Combine like terms: 2x + -24x = -22x 2[-22x + 2y + -20y] = 0 Combine like terms: 2y + -20y = -18y 2[-22x + -18y] = 0 [-22x * 2 + -18y * 2] = 0 [-44x + -36y] = 0 Solving -44x + -36y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36y' to each side of the equation. -44x + -36y + 36y = 0 + 36y Combine like terms: -36y + 36y = 0 -44x + 0 = 0 + 36y -44x = 0 + 36y Remove the zero: -44x = 36y Divide each side by '-44'. x = -0.8181818182y Simplifying x = -0.8181818182y
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