1000000=-X^2+90X-150

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Solution for 1000000=-X^2+90X-150 equation: 


Simplifying
1000000 = -1X2 + 90X + -150

Reorder the terms:
1000000 = -150 + 90X + -1X2

Solving
1000000 = -150 + 90X + -1X2

Solving for variable 'X'.

Combine like terms: 1000000 + 150 = 1000150
1000150 + -90X + X2 = -150 + 90X + -1X2 + 150 + -90X + X2

Reorder the terms:
1000150 + -90X + X2 = -150 + 150 + 90X + -90X + -1X2 + X2

Combine like terms: -150 + 150 = 0
1000150 + -90X + X2 = 0 + 90X + -90X + -1X2 + X2
1000150 + -90X + X2 = 90X + -90X + -1X2 + X2

Combine like terms: 90X + -90X = 0
1000150 + -90X + X2 = 0 + -1X2 + X2
1000150 + -90X + X2 = -1X2 + X2

Combine like terms: -1X2 + X2 = 0
1000150 + -90X + X2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-1000150' to each side of the equation.
1000150 + -90X + -1000150 + X2 = 0 + -1000150

Reorder the terms:
1000150 + -1000150 + -90X + X2 = 0 + -1000150

Combine like terms: 1000150 + -1000150 = 0
0 + -90X + X2 = 0 + -1000150
-90X + X2 = 0 + -1000150

Combine like terms: 0 + -1000150 = -1000150
-90X + X2 = -1000150

The X term is -90X.  Take half its coefficient (-45).
Square it (2025) and add it to both sides.

Add '2025' to each side of the equation.
-90X + 2025 + X2 = -1000150 + 2025

Reorder the terms:
2025 + -90X + X2 = -1000150 + 2025

Combine like terms: -1000150 + 2025 = -998125
2025 + -90X + X2 = -998125

Factor a perfect square on the left side:
(X + -45)(X + -45) = -998125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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