7.5=3.2x^2

Solution for 7.5=3.2x^2 equation:

Simplifying
7.5 = 3.2x2

Solving
7.5 = 3.2x2

Solving for variable 'x'.

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

Add '-3.2x2' to each side of the equation.
7.5 + -3.2x2 = 3.2x2 + -3.2x2

Combine like terms: 3.2x2 + -3.2x2 = 0.0
7.5 + -3.2x2 = 0.0

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -3.2x2 = 0.0 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -3.2x2 = 0.0 + -7.5
-3.2x2 = 0.0 + -7.5

Combine like terms: 0.0 + -7.5 = -7.5
-3.2x2 = -7.5

Divide each side by '-3.2'.
x2 = 2.34375

Simplifying
x2 = 2.34375

Take the square root of each side:
x = {-1.530931089, 1.530931089}