4x^2-2x+19=-7x+4

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Solution for 4x^2-2x+19=-7x+4 equation: 


Simplifying
4x2 + -2x + 19 = -7x + 4

Reorder the terms:
19 + -2x + 4x2 = -7x + 4

Reorder the terms:
19 + -2x + 4x2 = 4 + -7x

Solving
19 + -2x + 4x2 = 4 + -7x

Solving for variable 'x'.

Reorder the terms:
19 + -4 + -2x + 7x + 4x2 = 4 + -7x + -4 + 7x

Combine like terms: 19 + -4 = 15
15 + -2x + 7x + 4x2 = 4 + -7x + -4 + 7x

Combine like terms: -2x + 7x = 5x
15 + 5x + 4x2 = 4 + -7x + -4 + 7x

Reorder the terms:
15 + 5x + 4x2 = 4 + -4 + -7x + 7x

Combine like terms: 4 + -4 = 0
15 + 5x + 4x2 = 0 + -7x + 7x
15 + 5x + 4x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
15 + 5x + 4x2 = 0

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

Divide each side by '4'.
3.75 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-3.75' to each side of the equation.
3.75 + 1.25x + -3.75 + x2 = 0 + -3.75

Reorder the terms:
3.75 + -3.75 + 1.25x + x2 = 0 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 1.25x + x2 = 0 + -3.75
1.25x + x2 = 0 + -3.75

Combine like terms: 0 + -3.75 = -3.75
1.25x + x2 = -3.75

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -3.75 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -3.75 + 0.390625

Combine like terms: -3.75 + 0.390625 = -3.359375
0.390625 + 1.25x + x2 = -3.359375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -3.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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