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Simplifying 2[5(x + y) + -4(4x + -5y)] = 0 2[(x * 5 + y * 5) + -4(4x + -5y)] = 0 2[(5x + 5y) + -4(4x + -5y)] = 0 2[5x + 5y + (4x * -4 + -5y * -4)] = 0 2[5x + 5y + (-16x + 20y)] = 0 Reorder the terms: 2[5x + -16x + 5y + 20y] = 0 Combine like terms: 5x + -16x = -11x 2[-11x + 5y + 20y] = 0 Combine like terms: 5y + 20y = 25y 2[-11x + 25y] = 0 [-11x * 2 + 25y * 2] = 0 [-22x + 50y] = 0 Solving -22x + 50y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50y' to each side of the equation. -22x + 50y + -50y = 0 + -50y Combine like terms: 50y + -50y = 0 -22x + 0 = 0 + -50y -22x = 0 + -50y Remove the zero: -22x = -50y Divide each side by '-22'. x = 2.272727273y Simplifying x = 2.272727273y
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