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Simplifying 2[3(x + y) + -4(4x + -4y)] = 0 2[(x * 3 + y * 3) + -4(4x + -4y)] = 0 2[(3x + 3y) + -4(4x + -4y)] = 0 2[3x + 3y + (4x * -4 + -4y * -4)] = 0 2[3x + 3y + (-16x + 16y)] = 0 Reorder the terms: 2[3x + -16x + 3y + 16y] = 0 Combine like terms: 3x + -16x = -13x 2[-13x + 3y + 16y] = 0 Combine like terms: 3y + 16y = 19y 2[-13x + 19y] = 0 [-13x * 2 + 19y * 2] = 0 [-26x + 38y] = 0 Solving -26x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. -26x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 -26x + 0 = 0 + -38y -26x = 0 + -38y Remove the zero: -26x = -38y Divide each side by '-26'. x = 1.461538462y Simplifying x = 1.461538462y
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