5x(5x+4)+5(x+3)=x-7

Solution for 5x(5x+4)+5(x+3)=x-7 equation:

Simplifying
5x(5x + 4) + 5(x + 3) = x + -7

Reorder the terms:
5x(4 + 5x) + 5(x + 3) = x + -7
(4 * 5x + 5x * 5x) + 5(x + 3) = x + -7
(20x + 25x2) + 5(x + 3) = x + -7

Reorder the terms:
20x + 25x2 + 5(3 + x) = x + -7
20x + 25x2 + (3 * 5 + x * 5) = x + -7
20x + 25x2 + (15 + 5x) = x + -7

Reorder the terms:
15 + 20x + 5x + 25x2 = x + -7

Combine like terms: 20x + 5x = 25x
15 + 25x + 25x2 = x + -7

Reorder the terms:
15 + 25x + 25x2 = -7 + x

Solving
15 + 25x + 25x2 = -7 + x

Solving for variable 'x'.

Reorder the terms:
15 + 7 + 25x + -1x + 25x2 = -7 + x + 7 + -1x

Combine like terms: 15 + 7 = 22
22 + 25x + -1x + 25x2 = -7 + x + 7 + -1x

Combine like terms: 25x + -1x = 24x
22 + 24x + 25x2 = -7 + x + 7 + -1x

Reorder the terms:
22 + 24x + 25x2 = -7 + 7 + x + -1x

Combine like terms: -7 + 7 = 0
22 + 24x + 25x2 = 0 + x + -1x
22 + 24x + 25x2 = x + -1x

Combine like terms: x + -1x = 0
22 + 24x + 25x2 = 0

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

Divide each side by '25'.
0.88 + 0.96x + x2 = 0

Move the constant term to the right:

Add '-0.88' to each side of the equation.
0.88 + 0.96x + -0.88 + x2 = 0 + -0.88

Reorder the terms:
0.88 + -0.88 + 0.96x + x2 = 0 + -0.88

Combine like terms: 0.88 + -0.88 = 0.00
0.00 + 0.96x + x2 = 0 + -0.88
0.96x + x2 = 0 + -0.88

Combine like terms: 0 + -0.88 = -0.88
0.96x + x2 = -0.88

The x term is 0.96x.  Take half its coefficient (0.48).
Square it (0.2304) and add it to both sides.

Add '0.2304' to each side of the equation.
0.96x + 0.2304 + x2 = -0.88 + 0.2304

Reorder the terms:
0.2304 + 0.96x + x2 = -0.88 + 0.2304

Combine like terms: -0.88 + 0.2304 = -0.6496
0.2304 + 0.96x + x2 = -0.6496

Factor a perfect square on the left side:
(x + 0.48)(x + 0.48) = -0.6496

Can't calculate square root of the right side.

The solution to this equation could not be determined.