32=9(2x^2)

Solution for 32=9(2x^2) equation:

Simplifying
32 = 9(2x2)

Remove parenthesis around (2x2)
32 = 9 * 2x2

Multiply 9 * 2
32 = 18x2

Solving
32 = 18x2

Solving for variable 'x'.

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

Add '-18x2' to each side of the equation.
32 + -18x2 = 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
32 + -18x2 = 0

Add '-32' to each side of the equation.
32 + -32 + -18x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -18x2 = 0 + -32
-18x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-18x2 = -32

Divide each side by '-18'.
x2 = 1.777777778

Simplifying
x2 = 1.777777778

Take the square root of each side:
x = {-1.333333333, 1.333333333}