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

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

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

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

Reorder the terms for easier multiplication:
2 * 2x(5 + 2x) = 70

Multiply 2 * 2
4x(5 + 2x) = 70
(5 * 4x + 2x * 4x) = 70
(20x + 8x2) = 70

Solving
20x + 8x2 = 70

Solving for variable 'x'.

Reorder the terms:
-70 + 20x + 8x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 20x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-35 + 10x + 4x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-35 + 10x + 4x2)' equal to zero and attempt to solve:

Simplifying
-35 + 10x + 4x2 = 0

Solving
-35 + 10x + 4x2 = 0

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

Divide each side by '4'.
-8.75 + 2.5x + x2 = 0

Move the constant term to the right:

Add '8.75' to each side of the equation.
-8.75 + 2.5x + 8.75 + x2 = 0 + 8.75

Reorder the terms:
-8.75 + 8.75 + 2.5x + x2 = 0 + 8.75

Combine like terms: -8.75 + 8.75 = 0.00
0.00 + 2.5x + x2 = 0 + 8.75
2.5x + x2 = 0 + 8.75

Combine like terms: 0 + 8.75 = 8.75
2.5x + x2 = 8.75

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = 8.75 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = 8.75 + 1.5625

Combine like terms: 8.75 + 1.5625 = 10.3125
1.5625 + 2.5x + x2 = 10.3125

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = 10.3125

Calculate the square root of the right side: 3.211308145

Break this problem into two subproblems by setting 
(x + 1.25) equal to 3.211308145 and -3.211308145.

Subproblem 1
x + 1.25 = 3.211308145

Simplifying
x + 1.25 = 3.211308145

Reorder the terms:
1.25 + x = 3.211308145

Solving
1.25 + x = 3.211308145

Solving for variable 'x'.

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x = 3.211308145 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x = 3.211308145 + -1.25
x = 3.211308145 + -1.25

Combine like terms: 3.211308145 + -1.25 = 1.961308145
x = 1.961308145

Simplifying
x = 1.961308145

Subproblem 2
x + 1.25 = -3.211308145

Simplifying
x + 1.25 = -3.211308145

Reorder the terms:
1.25 + x = -3.211308145

Solving
1.25 + x = -3.211308145

Solving for variable 'x'.

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

Add '-1.25' to each side of the equation.
1.25 + -1.25 + x = -3.211308145 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + x = -3.211308145 + -1.25
x = -3.211308145 + -1.25

Combine like terms: -3.211308145 + -1.25 = -4.461308145
x = -4.461308145

Simplifying
x = -4.461308145

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.961308145, -4.461308145}
Solution
x = {1.961308145, -4.461308145}