7x^2+23x+19=2x^2+7x-6

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Solution for 7x^2+23x+19=2x^2+7x-6 equation:


Simplifying
7x2 + 23x + 19 = 2x2 + 7x + -6

Reorder the terms:
19 + 23x + 7x2 = 2x2 + 7x + -6

Reorder the terms:
19 + 23x + 7x2 = -6 + 7x + 2x2

Solving
19 + 23x + 7x2 = -6 + 7x + 2x2

Solving for variable 'x'.

Reorder the terms:
19 + 6 + 23x + -7x + 7x2 + -2x2 = -6 + 7x + 2x2 + 6 + -7x + -2x2

Combine like terms: 19 + 6 = 25
25 + 23x + -7x + 7x2 + -2x2 = -6 + 7x + 2x2 + 6 + -7x + -2x2

Combine like terms: 23x + -7x = 16x
25 + 16x + 7x2 + -2x2 = -6 + 7x + 2x2 + 6 + -7x + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
25 + 16x + 5x2 = -6 + 7x + 2x2 + 6 + -7x + -2x2

Reorder the terms:
25 + 16x + 5x2 = -6 + 6 + 7x + -7x + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
25 + 16x + 5x2 = 0 + 7x + -7x + 2x2 + -2x2
25 + 16x + 5x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
25 + 16x + 5x2 = 0 + 2x2 + -2x2
25 + 16x + 5x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
25 + 16x + 5x2 = 0

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

Divide each side by '5'.
5 + 3.2x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 3.2x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 3.2x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3.2x + x2 = 0 + -5
3.2x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3.2x + x2 = -5

The x term is 3.2x.  Take half its coefficient (1.6).
Square it (2.56) and add it to both sides.

Add '2.56' to each side of the equation.
3.2x + 2.56 + x2 = -5 + 2.56

Reorder the terms:
2.56 + 3.2x + x2 = -5 + 2.56

Combine like terms: -5 + 2.56 = -2.44
2.56 + 3.2x + x2 = -2.44

Factor a perfect square on the left side:
(x + 1.6)(x + 1.6) = -2.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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