7(x^2+5)=42

Solution for 7(x^2+5)=42 equation:

Simplifying
7(x2 + 5) = 42

Reorder the terms:
7(5 + x2) = 42
(5 * 7 + x2 * 7) = 42
(35 + 7x2) = 42

Solving
35 + 7x2 = 42

Solving for variable 'x'.

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

Add '-35' to each side of the equation.
35 + -35 + 7x2 = 42 + -35

Combine like terms: 35 + -35 = 0
0 + 7x2 = 42 + -35
7x2 = 42 + -35

Combine like terms: 42 + -35 = 7
7x2 = 7

Divide each side by '7'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}