1=1.5x^2

Solution for 1=1.5x^2 equation:

Simplifying
1 = 1.5x2

Solving
1 = 1.5x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.5x2' to each side of the equation.
1 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
1 + -1.5x2 = 0.0

Add '-1' to each side of the equation.
1 + -1 + -1.5x2 = 0.0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5x2 = 0.0 + -1
-1.5x2 = 0.0 + -1

Combine like terms: 0.0 + -1 = -1
-1.5x2 = -1

Divide each side by '-1.5'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}