5(x+2)*7x+4=

Solution for 5(x+2)*7x+4= equation:

Simplifying
5(x + 2) * 7x + 4 = 0

Reorder the terms:
5(2 + x) * 7x + 4 = 0

Reorder the terms for easier multiplication:
5 * 7x(2 + x) + 4 = 0

Multiply 5 * 7
35x(2 + x) + 4 = 0
(2 * 35x + x * 35x) + 4 = 0
(70x + 35x2) + 4 = 0

Reorder the terms:
4 + 70x + 35x2 = 0

Solving
4 + 70x + 35x2 = 0

Solving for variable 'x'.

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

Divide each side by '35'.
0.1142857143 + 2x + x2 = 0

Move the constant term to the right:

Add '-0.1142857143' to each side of the equation.
0.1142857143 + 2x + -0.1142857143 + x2 = 0 + -0.1142857143

Reorder the terms:
0.1142857143 + -0.1142857143 + 2x + x2 = 0 + -0.1142857143

Combine like terms: 0.1142857143 + -0.1142857143 = 0.0000000000
0.0000000000 + 2x + x2 = 0 + -0.1142857143
2x + x2 = 0 + -0.1142857143

Combine like terms: 0 + -0.1142857143 = -0.1142857143
2x + x2 = -0.1142857143

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -0.1142857143 + 1

Reorder the terms:
1 + 2x + x2 = -0.1142857143 + 1

Combine like terms: -0.1142857143 + 1 = 0.8857142857
1 + 2x + x2 = 0.8857142857

Factor a perfect square on the left side:
(x + 1)(x + 1) = 0.8857142857

Calculate the square root of the right side: 0.941123948

Break this problem into two subproblems by setting 
(x + 1) equal to 0.941123948 and -0.941123948.

Subproblem 1
x + 1 = 0.941123948

Simplifying
x + 1 = 0.941123948

Reorder the terms:
1 + x = 0.941123948

Solving
1 + x = 0.941123948

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 0.941123948 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0.941123948 + -1
x = 0.941123948 + -1

Combine like terms: 0.941123948 + -1 = -0.058876052
x = -0.058876052

Simplifying
x = -0.058876052

Subproblem 2
x + 1 = -0.941123948

Simplifying
x + 1 = -0.941123948

Reorder the terms:
1 + x = -0.941123948

Solving
1 + x = -0.941123948

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -0.941123948 + -1

Combine like terms: 1 + -1 = 0
0 + x = -0.941123948 + -1
x = -0.941123948 + -1

Combine like terms: -0.941123948 + -1 = -1.941123948
x = -1.941123948

Simplifying
x = -1.941123948

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.058876052, -1.941123948}