70=(x+2)(x)2

Solution for 70=(x+2)(x)2 equation:

Simplifying
70 = (x + 2)(x) * 2

Reorder the terms:
70 = (2 + x)(x) * 2

Reorder the terms for easier multiplication:
70 = 2x(2 + x)
70 = (2 * 2x + x * 2x)
70 = (4x + 2x2)

Solving
70 = 4x + 2x2

Solving for variable 'x'.

Reorder the terms:
70 + -4x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
70 + -4x + -2x2 = 0 + 2x2 + -2x2
70 + -4x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
70 + -4x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + -2x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(7 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {5, -7}