70=(2x+4)*(x+5)

Solution for 70=(2x+4)*(x+5) equation:

Simplifying
70 = (2x + 4)(x + 5)

Reorder the terms:
70 = (4 + 2x)(x + 5)

Reorder the terms:
70 = (4 + 2x)(5 + x)

Multiply (4 + 2x) * (5 + x)
70 = (4(5 + x) + 2x * (5 + x))
70 = ((5 * 4 + x * 4) + 2x * (5 + x))
70 = ((20 + 4x) + 2x * (5 + x))
70 = (20 + 4x + (5 * 2x + x * 2x))
70 = (20 + 4x + (10x + 2x2))

Combine like terms: 4x + 10x = 14x
70 = (20 + 14x + 2x2)

Solving
70 = 20 + 14x + 2x2

Solving for variable 'x'.

Combine like terms: 70 + -20 = 50
50 + -14x + -2x2 = 20 + 14x + 2x2 + -20 + -14x + -2x2

Reorder the terms:
50 + -14x + -2x2 = 20 + -20 + 14x + -14x + 2x2 + -2x2

Combine like terms: 20 + -20 = 0
50 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2
50 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
50 + -14x + -2x2 = 0 + 2x2 + -2x2
50 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
50 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -7x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(25 + -7x + -1x2)' equal to zero and attempt to solve:

Simplifying
25 + -7x + -1x2 = 0

Solving
25 + -7x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-25 + 7x + x2 = 0

Move the constant term to the right:

Add '25' to each side of the equation.
-25 + 7x + 25 + x2 = 0 + 25

Reorder the terms:
-25 + 25 + 7x + x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 7x + x2 = 0 + 25
7x + x2 = 0 + 25

Combine like terms: 0 + 25 = 25
7x + x2 = 25

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = 25 + 12.25

Reorder the terms:
12.25 + 7x + x2 = 25 + 12.25

Combine like terms: 25 + 12.25 = 37.25
12.25 + 7x + x2 = 37.25

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = 37.25

Calculate the square root of the right side: 6.103277808

Break this problem into two subproblems by setting 
(x + 3.5) equal to 6.103277808 and -6.103277808.

Subproblem 1
x + 3.5 = 6.103277808

Simplifying
x + 3.5 = 6.103277808

Reorder the terms:
3.5 + x = 6.103277808

Solving
3.5 + x = 6.103277808

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = 6.103277808 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = 6.103277808 + -3.5
x = 6.103277808 + -3.5

Combine like terms: 6.103277808 + -3.5 = 2.603277808
x = 2.603277808

Simplifying
x = 2.603277808

Subproblem 2
x + 3.5 = -6.103277808

Simplifying
x + 3.5 = -6.103277808

Reorder the terms:
3.5 + x = -6.103277808

Solving
3.5 + x = -6.103277808

Solving for variable 'x'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + x = -6.103277808 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + x = -6.103277808 + -3.5
x = -6.103277808 + -3.5

Combine like terms: -6.103277808 + -3.5 = -9.603277808
x = -9.603277808

Simplifying
x = -9.603277808

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.603277808, -9.603277808}
Solution
x = {2.603277808, -9.603277808}