5(16x^2-9)-2=0

Solution for 5(16x^2-9)-2=0 equation:

Simplifying
5(16x2 + -9) + -2 = 0

Reorder the terms:
5(-9 + 16x2) + -2 = 0
(-9 * 5 + 16x2 * 5) + -2 = 0
(-45 + 80x2) + -2 = 0

Reorder the terms:
-45 + -2 + 80x2 = 0

Combine like terms: -45 + -2 = -47
-47 + 80x2 = 0

Solving
-47 + 80x2 = 0

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 80x2 = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 80x2 = 0 + 47
80x2 = 0 + 47

Combine like terms: 0 + 47 = 47
80x2 = 47

Divide each side by '80'.
x2 = 0.5875

Simplifying
x2 = 0.5875

Take the square root of each side:
x = {-0.766485486, 0.766485486}