0.5x^2+10=1.5x^2

Solution for 0.5x^2+10=1.5x^2 equation:

Simplifying
0.5x2 + 10 = 1.5x2

Reorder the terms:
10 + 0.5x2 = 1.5x2

Solving
10 + 0.5x2 = 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.
10 + 0.5x2 + -1.5x2 = 1.5x2 + -1.5x2

Combine like terms: 0.5x2 + -1.5x2 = -1x2
10 + -1x2 = 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
10 + -1x2 = 0.0

Add '-10' to each side of the equation.
10 + -10 + -1x2 = 0.0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x2 = 0.0 + -10
-1x2 = 0.0 + -10

Combine like terms: 0.0 + -10 = -10
-1x2 = -10

Divide each side by '-1'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}