(x^2+4)-(5x^2-3x+4)+(2x-3)=0

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Solution for (x^2+4)-(5x^2-3x+4)+(2x-3)=0 equation: 


Simplifying
(x2 + 4) + -1(5x2 + -3x + 4) + (2x + -3) = 0

Reorder the terms:
(4 + x2) + -1(5x2 + -3x + 4) + (2x + -3) = 0

Remove parenthesis around (4 + x2)
4 + x2 + -1(5x2 + -3x + 4) + (2x + -3) = 0

Reorder the terms:
4 + x2 + -1(4 + -3x + 5x2) + (2x + -3) = 0
4 + x2 + (4 * -1 + -3x * -1 + 5x2 * -1) + (2x + -3) = 0
4 + x2 + (-4 + 3x + -5x2) + (2x + -3) = 0

Reorder the terms:
4 + x2 + -4 + 3x + -5x2 + (-3 + 2x) = 0

Remove parenthesis around (-3 + 2x)
4 + x2 + -4 + 3x + -5x2 + -3 + 2x = 0

Reorder the terms:
4 + -4 + -3 + 3x + 2x + x2 + -5x2 = 0

Combine like terms: 4 + -4 = 0
0 + -3 + 3x + 2x + x2 + -5x2 = 0
-3 + 3x + 2x + x2 + -5x2 = 0

Combine like terms: 3x + 2x = 5x
-3 + 5x + x2 + -5x2 = 0

Combine like terms: x2 + -5x2 = -4x2
-3 + 5x + -4x2 = 0

Solving
-3 + 5x + -4x2 = 0

Solving for variable 'x'.

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

Divide each side by '-4'.
0.75 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.25x + x2 = 0 + -0.75
-1.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.25x + x2 = -0.75

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 = -0.75 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -0.75 + 0.390625

Combine like terms: -0.75 + 0.390625 = -0.359375
0.390625 + -1.25x + x2 = -0.359375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -0.359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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