5(x^2-9)+4=34

Solution for 5(x^2-9)+4=34 equation:

Simplifying
5(x2 + -9) + 4 = 34

Reorder the terms:
5(-9 + x2) + 4 = 34
(-9 * 5 + x2 * 5) + 4 = 34
(-45 + 5x2) + 4 = 34

Reorder the terms:
-45 + 4 + 5x2 = 34

Combine like terms: -45 + 4 = -41
-41 + 5x2 = 34

Solving
-41 + 5x2 = 34

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 5x2 = 34 + 41

Combine like terms: -41 + 41 = 0
0 + 5x2 = 34 + 41
5x2 = 34 + 41

Combine like terms: 34 + 41 = 75
5x2 = 75

Divide each side by '5'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}