1243x^2-234=324x-90909-x

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Solution for 1243x^2-234=324x-90909-x equation:


Simplifying
1243x2 + -234 = 324x + -90909 + -1x

Reorder the terms:
-234 + 1243x2 = 324x + -90909 + -1x

Reorder the terms:
-234 + 1243x2 = -90909 + 324x + -1x

Combine like terms: 324x + -1x = 323x
-234 + 1243x2 = -90909 + 323x

Solving
-234 + 1243x2 = -90909 + 323x

Solving for variable 'x'.

Reorder the terms:
-234 + 90909 + -323x + 1243x2 = -90909 + 323x + 90909 + -323x

Combine like terms: -234 + 90909 = 90675
90675 + -323x + 1243x2 = -90909 + 323x + 90909 + -323x

Reorder the terms:
90675 + -323x + 1243x2 = -90909 + 90909 + 323x + -323x

Combine like terms: -90909 + 90909 = 0
90675 + -323x + 1243x2 = 0 + 323x + -323x
90675 + -323x + 1243x2 = 323x + -323x

Combine like terms: 323x + -323x = 0
90675 + -323x + 1243x2 = 0

Begin completing the square.  Divide all terms by
1243 the coefficient of the squared term: 

Divide each side by '1243'.
72.94851167 + -0.2598551891x + x2 = 0

Move the constant term to the right:

Add '-72.94851167' to each side of the equation.
72.94851167 + -0.2598551891x + -72.94851167 + x2 = 0 + -72.94851167

Reorder the terms:
72.94851167 + -72.94851167 + -0.2598551891x + x2 = 0 + -72.94851167

Combine like terms: 72.94851167 + -72.94851167 = 0.00000000
0.00000000 + -0.2598551891x + x2 = 0 + -72.94851167
-0.2598551891x + x2 = 0 + -72.94851167

Combine like terms: 0 + -72.94851167 = -72.94851167
-0.2598551891x + x2 = -72.94851167

The x term is -0.2598551891x.  Take half its coefficient (-0.1299275946).
Square it (0.01688117984) and add it to both sides.

Add '0.01688117984' to each side of the equation.
-0.2598551891x + 0.01688117984 + x2 = -72.94851167 + 0.01688117984

Reorder the terms:
0.01688117984 + -0.2598551891x + x2 = -72.94851167 + 0.01688117984

Combine like terms: -72.94851167 + 0.01688117984 = -72.93163049016
0.01688117984 + -0.2598551891x + x2 = -72.93163049016

Factor a perfect square on the left side:
(x + -0.1299275946)(x + -0.1299275946) = -72.93163049016

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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