10.89=(X^2)-8X+1600

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Solution for 10.89=(X^2)-8X+1600 equation: 


Simplifying
10.89 = (X2) + -8X + 1600
10.89 = X2 + -8X + 1600

Reorder the terms:
10.89 = 1600 + -8X + X2

Solving
10.89 = 1600 + -8X + X2

Solving for variable 'X'.

Combine like terms: 10.89 + -1600 = -1589.11
-1589.11 + 8X + -1X2 = 1600 + -8X + X2 + -1600 + 8X + -1X2

Reorder the terms:
-1589.11 + 8X + -1X2 = 1600 + -1600 + -8X + 8X + X2 + -1X2

Combine like terms: 1600 + -1600 = 0
-1589.11 + 8X + -1X2 = 0 + -8X + 8X + X2 + -1X2
-1589.11 + 8X + -1X2 = -8X + 8X + X2 + -1X2

Combine like terms: -8X + 8X = 0
-1589.11 + 8X + -1X2 = 0 + X2 + -1X2
-1589.11 + 8X + -1X2 = X2 + -1X2

Combine like terms: X2 + -1X2 = 0
-1589.11 + 8X + -1X2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1589.11 + -8X + X2 = 0

Move the constant term to the right:

Add '-1589.11' to each side of the equation.
1589.11 + -8X + -1589.11 + X2 = 0 + -1589.11

Reorder the terms:
1589.11 + -1589.11 + -8X + X2 = 0 + -1589.11

Combine like terms: 1589.11 + -1589.11 = 0.00
0.00 + -8X + X2 = 0 + -1589.11
-8X + X2 = 0 + -1589.11

Combine like terms: 0 + -1589.11 = -1589.11
-8X + X2 = -1589.11

The X term is -8X.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8X + 16 + X2 = -1589.11 + 16

Reorder the terms:
16 + -8X + X2 = -1589.11 + 16

Combine like terms: -1589.11 + 16 = -1573.11
16 + -8X + X2 = -1573.11

Factor a perfect square on the left side:
(X + -4)(X + -4) = -1573.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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