2x(2x-5)+18=x(7-x)-12

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Solution for 2x(2x-5)+18=x(7-x)-12 equation: 


Simplifying
2x(2x + -5) + 18 = x(7 + -1x) + -12

Reorder the terms:
2x(-5 + 2x) + 18 = x(7 + -1x) + -12
(-5 * 2x + 2x * 2x) + 18 = x(7 + -1x) + -12
(-10x + 4x2) + 18 = x(7 + -1x) + -12

Reorder the terms:
18 + -10x + 4x2 = x(7 + -1x) + -12
18 + -10x + 4x2 = (7 * x + -1x * x) + -12
18 + -10x + 4x2 = (7x + -1x2) + -12

Reorder the terms:
18 + -10x + 4x2 = -12 + 7x + -1x2

Solving
18 + -10x + 4x2 = -12 + 7x + -1x2

Solving for variable 'x'.

Reorder the terms:
18 + 12 + -10x + -7x + 4x2 + x2 = -12 + 7x + -1x2 + 12 + -7x + x2

Combine like terms: 18 + 12 = 30
30 + -10x + -7x + 4x2 + x2 = -12 + 7x + -1x2 + 12 + -7x + x2

Combine like terms: -10x + -7x = -17x
30 + -17x + 4x2 + x2 = -12 + 7x + -1x2 + 12 + -7x + x2

Combine like terms: 4x2 + x2 = 5x2
30 + -17x + 5x2 = -12 + 7x + -1x2 + 12 + -7x + x2

Reorder the terms:
30 + -17x + 5x2 = -12 + 12 + 7x + -7x + -1x2 + x2

Combine like terms: -12 + 12 = 0
30 + -17x + 5x2 = 0 + 7x + -7x + -1x2 + x2
30 + -17x + 5x2 = 7x + -7x + -1x2 + x2

Combine like terms: 7x + -7x = 0
30 + -17x + 5x2 = 0 + -1x2 + x2
30 + -17x + 5x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
30 + -17x + 5x2 = 0

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

Divide each side by '5'.
6 + -3.4x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -3.4x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + -3.4x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3.4x + x2 = 0 + -6
-3.4x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3.4x + x2 = -6

The x term is -3.4x.  Take half its coefficient (-1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
-3.4x + 2.89 + x2 = -6 + 2.89

Reorder the terms:
2.89 + -3.4x + x2 = -6 + 2.89

Combine like terms: -6 + 2.89 = -3.11
2.89 + -3.4x + x2 = -3.11

Factor a perfect square on the left side:
(x + -1.7)(x + -1.7) = -3.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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