3(x*x+5)=53

Solution for 3(x*x+5)=53 equation:

Simplifying
3(x * x + 5) = 53

Multiply x * x
3(x2 + 5) = 53

Reorder the terms:
3(5 + x2) = 53
(5 * 3 + x2 * 3) = 53
(15 + 3x2) = 53

Solving
15 + 3x2 = 53

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 3x2 = 53 + -15

Combine like terms: 15 + -15 = 0
0 + 3x2 = 53 + -15
3x2 = 53 + -15

Combine like terms: 53 + -15 = 38
3x2 = 38

Divide each side by '3'.
x2 = 12.66666667

Simplifying
x2 = 12.66666667

Take the square root of each side:
x = {-3.559026084, 3.559026084}