3(x^2-5)+4=0

Solution for 3(x^2-5)+4=0 equation:

Simplifying
3(x2 + -5) + 4 = 0

Reorder the terms:
3(-5 + x2) + 4 = 0
(-5 * 3 + x2 * 3) + 4 = 0
(-15 + 3x2) + 4 = 0

Reorder the terms:
-15 + 4 + 3x2 = 0

Combine like terms: -15 + 4 = -11
-11 + 3x2 = 0

Solving
-11 + 3x2 = 0

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x2 = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x2 = 0 + 11
3x2 = 0 + 11

Combine like terms: 0 + 11 = 11
3x2 = 11

Divide each side by '3'.
x2 = 3.666666667

Simplifying
x2 = 3.666666667

Take the square root of each side:
x = {-1.914854216, 1.914854216}