5(x^2+.4)=3

Solution for 5(x^2+.4)=3 equation:

Simplifying
5(x2 + 0.4) = 3

Reorder the terms:
5(0.4 + x2) = 3
(0.4 * 5 + x2 * 5) = 3
(2 + 5x2) = 3

Solving
2 + 5x2 = 3

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x2 = 3 + -2

Combine like terms: 2 + -2 = 0
0 + 5x2 = 3 + -2
5x2 = 3 + -2

Combine like terms: 3 + -2 = 1
5x2 = 1

Divide each side by '5'.
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}