2x(x-1)+2(x+3)=70

Solution for 2x(x-1)+2(x+3)=70 equation:

Simplifying
2x(x + -1) + 2(x + 3) = 70

Reorder the terms:
2x(-1 + x) + 2(x + 3) = 70
(-1 * 2x + x * 2x) + 2(x + 3) = 70
(-2x + 2x2) + 2(x + 3) = 70

Reorder the terms:
-2x + 2x2 + 2(3 + x) = 70
-2x + 2x2 + (3 * 2 + x * 2) = 70
-2x + 2x2 + (6 + 2x) = 70

Reorder the terms:
6 + -2x + 2x + 2x2 = 70

Combine like terms: -2x + 2x = 0
6 + 0 + 2x2 = 70
6 + 2x2 = 70

Solving
6 + 2x2 = 70

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 70 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 70 + -6
2x2 = 70 + -6

Combine like terms: 70 + -6 = 64
2x2 = 64

Divide each side by '2'.
x2 = 32

Simplifying
x2 = 32

Take the square root of each side:
x = {-5.656854249, 5.656854249}