2(4x^2+5x)+4-(10-2x^2)=140

Solution for 2(4x^2+5x)+4-(10-2x^2)=140 equation:

Simplifying
2(4x2 + 5x) + 4 + -1(10 + -2x2) = 140

Reorder the terms:
2(5x + 4x2) + 4 + -1(10 + -2x2) = 140
(5x * 2 + 4x2 * 2) + 4 + -1(10 + -2x2) = 140
(10x + 8x2) + 4 + -1(10 + -2x2) = 140
10x + 8x2 + 4 + (10 * -1 + -2x2 * -1) = 140
10x + 8x2 + 4 + (-10 + 2x2) = 140

Reorder the terms:
4 + -10 + 10x + 8x2 + 2x2 = 140

Combine like terms: 4 + -10 = -6
-6 + 10x + 8x2 + 2x2 = 140

Combine like terms: 8x2 + 2x2 = 10x2
-6 + 10x + 10x2 = 140

Solving
-6 + 10x + 10x2 = 140

Solving for variable 'x'.

Reorder the terms:
-6 + -140 + 10x + 10x2 = 140 + -140

Combine like terms: -6 + -140 = -146
-146 + 10x + 10x2 = 140 + -140

Combine like terms: 140 + -140 = 0
-146 + 10x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-73 + 5x + 5x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-73 + 5x + 5x2)' equal to zero and attempt to solve:

Simplifying
-73 + 5x + 5x2 = 0

Solving
-73 + 5x + 5x2 = 0

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

Divide each side by '5'.
-14.6 + x + x2 = 0

Move the constant term to the right:

Add '14.6' to each side of the equation.
-14.6 + x + 14.6 + x2 = 0 + 14.6

Reorder the terms:
-14.6 + 14.6 + x + x2 = 0 + 14.6

Combine like terms: -14.6 + 14.6 = 0.0
0.0 + x + x2 = 0 + 14.6
x + x2 = 0 + 14.6

Combine like terms: 0 + 14.6 = 14.6
x + x2 = 14.6

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = 14.6 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = 14.6 + 0.25

Combine like terms: 14.6 + 0.25 = 14.85
1.25 + x2 = 14.85

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 14.85

Calculate the square root of the right side: 3.853569774

Break this problem into two subproblems by setting 
(x + 0.5) equal to 3.853569774 and -3.853569774.

Subproblem 1
x + 0.5 = 3.853569774

Simplifying
x + 0.5 = 3.853569774

Reorder the terms:
0.5 + x = 3.853569774

Solving
0.5 + x = 3.853569774

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 3.853569774 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 3.853569774 + -0.5
x = 3.853569774 + -0.5

Combine like terms: 3.853569774 + -0.5 = 3.353569774
x = 3.353569774

Simplifying
x = 3.353569774

Subproblem 2
x + 0.5 = -3.853569774

Simplifying
x + 0.5 = -3.853569774

Reorder the terms:
0.5 + x = -3.853569774

Solving
0.5 + x = -3.853569774

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -3.853569774 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -3.853569774 + -0.5
x = -3.853569774 + -0.5

Combine like terms: -3.853569774 + -0.5 = -4.353569774
x = -4.353569774

Simplifying
x = -4.353569774

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.353569774, -4.353569774}
Solution
x = {3.353569774, -4.353569774}