2x(x+7)=5(x-7)

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

Simplifying
2x(x + 7) = 5(x + -7)

Reorder the terms:
2x(7 + x) = 5(x + -7)
(7 * 2x + x * 2x) = 5(x + -7)
(14x + 2x2) = 5(x + -7)

Reorder the terms:
14x + 2x2 = 5(-7 + x)
14x + 2x2 = (-7 * 5 + x * 5)
14x + 2x2 = (-35 + 5x)

Solving
14x + 2x2 = -35 + 5x

Solving for variable 'x'.

Reorder the terms:
35 + 14x + -5x + 2x2 = -35 + 5x + 35 + -5x

Combine like terms: 14x + -5x = 9x
35 + 9x + 2x2 = -35 + 5x + 35 + -5x

Reorder the terms:
35 + 9x + 2x2 = -35 + 35 + 5x + -5x

Combine like terms: -35 + 35 = 0
35 + 9x + 2x2 = 0 + 5x + -5x
35 + 9x + 2x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
35 + 9x + 2x2 = 0

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

Divide each side by '2'.
17.5 + 4.5x + x2 = 0

Move the constant term to the right:

Add '-17.5' to each side of the equation.
17.5 + 4.5x + -17.5 + x2 = 0 + -17.5

Reorder the terms:
17.5 + -17.5 + 4.5x + x2 = 0 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + 4.5x + x2 = 0 + -17.5
4.5x + x2 = 0 + -17.5

Combine like terms: 0 + -17.5 = -17.5
4.5x + x2 = -17.5

The x term is 4.5x.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5x + 5.0625 + x2 = -17.5 + 5.0625

Reorder the terms:
5.0625 + 4.5x + x2 = -17.5 + 5.0625

Combine like terms: -17.5 + 5.0625 = -12.4375
5.0625 + 4.5x + x2 = -12.4375

Factor a perfect square on the left side:
(x + 2.25)(x + 2.25) = -12.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.