Question

Solve the equation.
X^2=2x^2 + 4

Answer 1

First step:
Subtract 2x^2 from both sides to get x by itself but remember there is always an invisible 1 infront of x, So...

1x^2 = 2x^2 + 4
-2x^2 -2x^2

-1x^2 = 4

Second step:
Divide -1 from both sides to get x by itself

-1 / -1 x^2 = 4 / -1

X^2 = -4

Third step:
Since the x has an exponent, the power function with an even exponent is always positive or 0

X = 0

Answer 2

No real solution or if you learned imaginary numbers, 2i

Explanation:

x^2=2x^2+4

x^2=x^2+x^2+4

Subtract x^2 from both sides

0=x^2 + 4

Subtract 4 from both sides

x^2 = -4

Square root both sides

x=sqrt(-4)

x=2i or no real solutions