5x(x)+2(5x)=-17

Solution for 5x(x)+2(5x)=-17 equation:

Simplifying
5x(x) + 2(5x) = -17

Multiply x * x
5x2 + 2(5x) = -17

Remove parenthesis around (5x)
5x2 + 2 * 5x = -17

Multiply 2 * 5
5x2 + 10x = -17

Reorder the terms:
10x + 5x2 = -17

Solving
10x + 5x2 = -17

Solving for variable 'x'.

Reorder the terms:
17 + 10x + 5x2 = -17 + 17

Combine like terms: -17 + 17 = 0
17 + 10x + 5x2 = 0

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

Divide each side by '5'.
3.4 + 2x + x2 = 0

Move the constant term to the right:

Add '-3.4' to each side of the equation.
3.4 + 2x + -3.4 + x2 = 0 + -3.4

Reorder the terms:
3.4 + -3.4 + 2x + x2 = 0 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + 2x + x2 = 0 + -3.4
2x + x2 = 0 + -3.4

Combine like terms: 0 + -3.4 = -3.4
2x + x2 = -3.4

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 = -3.4 + 1

Reorder the terms:
1 + 2x + x2 = -3.4 + 1

Combine like terms: -3.4 + 1 = -2.4
1 + 2x + x2 = -2.4

Factor a perfect square on the left side:
(x + 1)(x + 1) = -2.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.