5x(x+4)=7x-26

Solution for 5x(x+4)=7x-26 equation:

Simplifying
5x(x + 4) = 7x + -26

Reorder the terms:
5x(4 + x) = 7x + -26
(4 * 5x + x * 5x) = 7x + -26
(20x + 5x2) = 7x + -26

Reorder the terms:
20x + 5x2 = -26 + 7x

Solving
20x + 5x2 = -26 + 7x

Solving for variable 'x'.

Reorder the terms:
26 + 20x + -7x + 5x2 = -26 + 7x + 26 + -7x

Combine like terms: 20x + -7x = 13x
26 + 13x + 5x2 = -26 + 7x + 26 + -7x

Reorder the terms:
26 + 13x + 5x2 = -26 + 26 + 7x + -7x

Combine like terms: -26 + 26 = 0
26 + 13x + 5x2 = 0 + 7x + -7x
26 + 13x + 5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
26 + 13x + 5x2 = 0

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

Divide each side by '5'.
5.2 + 2.6x + x2 = 0

Move the constant term to the right:

Add '-5.2' to each side of the equation.
5.2 + 2.6x + -5.2 + x2 = 0 + -5.2

Reorder the terms:
5.2 + -5.2 + 2.6x + x2 = 0 + -5.2

Combine like terms: 5.2 + -5.2 = 0.0
0.0 + 2.6x + x2 = 0 + -5.2
2.6x + x2 = 0 + -5.2

Combine like terms: 0 + -5.2 = -5.2
2.6x + x2 = -5.2

The x term is 2.6x.  Take half its coefficient (1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
2.6x + 1.69 + x2 = -5.2 + 1.69

Reorder the terms:
1.69 + 2.6x + x2 = -5.2 + 1.69

Combine like terms: -5.2 + 1.69 = -3.51
1.69 + 2.6x + x2 = -3.51

Factor a perfect square on the left side:
(x + 1.3)(x + 1.3) = -3.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.