234x^2-(2455x+568)=5668x-678456

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Solution for 234x^2-(2455x+568)=5668x-678456 equation:


Simplifying
234x2 + -1(2455x + 568) = 5668x + -678456

Reorder the terms:
234x2 + -1(568 + 2455x) = 5668x + -678456
234x2 + (568 * -1 + 2455x * -1) = 5668x + -678456
234x2 + (-568 + -2455x) = 5668x + -678456

Reorder the terms:
-568 + -2455x + 234x2 = 5668x + -678456

Reorder the terms:
-568 + -2455x + 234x2 = -678456 + 5668x

Solving
-568 + -2455x + 234x2 = -678456 + 5668x

Solving for variable 'x'.

Reorder the terms:
-568 + 678456 + -2455x + -5668x + 234x2 = -678456 + 5668x + 678456 + -5668x

Combine like terms: -568 + 678456 = 677888
677888 + -2455x + -5668x + 234x2 = -678456 + 5668x + 678456 + -5668x

Combine like terms: -2455x + -5668x = -8123x
677888 + -8123x + 234x2 = -678456 + 5668x + 678456 + -5668x

Reorder the terms:
677888 + -8123x + 234x2 = -678456 + 678456 + 5668x + -5668x

Combine like terms: -678456 + 678456 = 0
677888 + -8123x + 234x2 = 0 + 5668x + -5668x
677888 + -8123x + 234x2 = 5668x + -5668x

Combine like terms: 5668x + -5668x = 0
677888 + -8123x + 234x2 = 0

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

Divide each side by '234'.
2896.957265 + -34.71367521x + x2 = 0

Move the constant term to the right:

Add '-2896.957265' to each side of the equation.
2896.957265 + -34.71367521x + -2896.957265 + x2 = 0 + -2896.957265

Reorder the terms:
2896.957265 + -2896.957265 + -34.71367521x + x2 = 0 + -2896.957265

Combine like terms: 2896.957265 + -2896.957265 = 0.000000
0.000000 + -34.71367521x + x2 = 0 + -2896.957265
-34.71367521x + x2 = 0 + -2896.957265

Combine like terms: 0 + -2896.957265 = -2896.957265
-34.71367521x + x2 = -2896.957265

The x term is -34.71367521x.  Take half its coefficient (-17.35683761).
Square it (301.2598118) and add it to both sides.

Add '301.2598118' to each side of the equation.
-34.71367521x + 301.2598118 + x2 = -2896.957265 + 301.2598118

Reorder the terms:
301.2598118 + -34.71367521x + x2 = -2896.957265 + 301.2598118

Combine like terms: -2896.957265 + 301.2598118 = -2595.6974532
301.2598118 + -34.71367521x + x2 = -2595.6974532

Factor a perfect square on the left side:
(x + -17.35683761)(x + -17.35683761) = -2595.6974532

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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