First, distribute the square root of 2 to both terms inside the parentheses:
√2(3x) - √2(4) = 6
Simplify:
3√2x - 4√2 = 6
Now we want to isolate the variable x. Add 4√2 to both sides:
3√2x = 6 + 4√2
Divide both sides by 3√2:
x = (6 + 4√2) / 3√2
x = 2 + (4/3)√2
So the solution is x = 2 + (4/3)√2
First, distribute the square root of 2 to both terms inside the parentheses:
√2(3x) - √2(4) = 6
Simplify:
3√2x - 4√2 = 6
Now we want to isolate the variable x. Add 4√2 to both sides:
3√2x = 6 + 4√2
3√2x = 6 + 4√2
Divide both sides by 3√2:
x = (6 + 4√2) / 3√2
x = 2 + (4/3)√2
So the solution is x = 2 + (4/3)√2