5x^2+3(x^2-1)=

Solution for 5x^2+3(x^2-1)= equation:

Simplifying
5x2 + 3(x2 + -1) = 0

Reorder the terms:
5x2 + 3(-1 + x2) = 0
5x2 + (-1 * 3 + x2 * 3) = 0
5x2 + (-3 + 3x2) = 0

Reorder the terms:
-3 + 5x2 + 3x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
-3 + 8x2 = 0

Solving
-3 + 8x2 = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 8x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8x2 = 0 + 3
8x2 = 0 + 3

Combine like terms: 0 + 3 = 3
8x2 = 3

Divide each side by '8'.
x2 = 0.375

Simplifying
x2 = 0.375

Take the square root of each side:
x = {-0.612372436, 0.612372436}