(2x+10)2x=350

Solution for (2x+10)2x=350 equation:

Simplifying
(2x + 10) * 2x = 350

Reorder the terms:
(10 + 2x) * 2x = 350

Reorder the terms for easier multiplication:
2x(10 + 2x) = 350
(10 * 2x + 2x * 2x) = 350
(20x + 4x2) = 350

Solving
20x + 4x2 = 350

Solving for variable 'x'.

Reorder the terms:
-350 + 20x + 4x2 = 350 + -350

Combine like terms: 350 + -350 = 0
-350 + 20x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-175 + 10x + 2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-175 + 10x + 2x2)' equal to zero and attempt to solve:

Simplifying
-175 + 10x + 2x2 = 0

Solving
-175 + 10x + 2x2 = 0

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

Divide each side by '2'.
-87.5 + 5x + x2 = 0

Move the constant term to the right:

Add '87.5' to each side of the equation.
-87.5 + 5x + 87.5 + x2 = 0 + 87.5

Reorder the terms:
-87.5 + 87.5 + 5x + x2 = 0 + 87.5

Combine like terms: -87.5 + 87.5 = 0.0
0.0 + 5x + x2 = 0 + 87.5
5x + x2 = 0 + 87.5

Combine like terms: 0 + 87.5 = 87.5
5x + x2 = 87.5

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 87.5 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 87.5 + 6.25

Combine like terms: 87.5 + 6.25 = 93.75
6.25 + 5x + x2 = 93.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 93.75

Calculate the square root of the right side: 9.682458366

Break this problem into two subproblems by setting 
(x + 2.5) equal to 9.682458366 and -9.682458366.

Subproblem 1
x + 2.5 = 9.682458366

Simplifying
x + 2.5 = 9.682458366

Reorder the terms:
2.5 + x = 9.682458366

Solving
2.5 + x = 9.682458366

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 9.682458366 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 9.682458366 + -2.5
x = 9.682458366 + -2.5

Combine like terms: 9.682458366 + -2.5 = 7.182458366
x = 7.182458366

Simplifying
x = 7.182458366

Subproblem 2
x + 2.5 = -9.682458366

Simplifying
x + 2.5 = -9.682458366

Reorder the terms:
2.5 + x = -9.682458366

Solving
2.5 + x = -9.682458366

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -9.682458366 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -9.682458366 + -2.5
x = -9.682458366 + -2.5

Combine like terms: -9.682458366 + -2.5 = -12.182458366
x = -12.182458366

Simplifying
x = -12.182458366

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.182458366, -12.182458366}
Solution
x = {7.182458366, -12.182458366}