120000(x-100)+150((X^2)-400+40000)=22536(600-x)

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Solution for 120000(x-100)+150((X^2)-400+40000)=22536(600-x) equation: 


Simplifying
120000(x + -100) + 150((X2) + -400 + 40000) = 22536(600 + -1x)

Reorder the terms:
120000(-100 + x) + 150((X2) + -400 + 40000) = 22536(600 + -1x)
(-100 * 120000 + x * 120000) + 150((X2) + -400 + 40000) = 22536(600 + -1x)
(-12000000 + 120000x) + 150((X2) + -400 + 40000) = 22536(600 + -1x)
-12000000 + 120000x + 150(X2 + -400 + 40000) = 22536(600 + -1x)

Reorder the terms:
-12000000 + 120000x + 150(-400 + 40000 + X2) = 22536(600 + -1x)

Combine like terms: -400 + 40000 = 39600
-12000000 + 120000x + 150(39600 + X2) = 22536(600 + -1x)
-12000000 + 120000x + (39600 * 150 + X2 * 150) = 22536(600 + -1x)
-12000000 + 120000x + (5940000 + 150X2) = 22536(600 + -1x)

Reorder the terms:
-12000000 + 5940000 + 150X2 + 120000x = 22536(600 + -1x)

Combine like terms: -12000000 + 5940000 = -6060000
-6060000 + 150X2 + 120000x = 22536(600 + -1x)
-6060000 + 150X2 + 120000x = (600 * 22536 + -1x * 22536)
-6060000 + 150X2 + 120000x = (13521600 + -22536x)

Solving
-6060000 + 150X2 + 120000x = 13521600 + -22536x

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '6060000' to each side of the equation.
-6060000 + 150X2 + 6060000 + 120000x = 13521600 + 6060000 + -22536x

Reorder the terms:
-6060000 + 6060000 + 150X2 + 120000x = 13521600 + 6060000 + -22536x

Combine like terms: -6060000 + 6060000 = 0
0 + 150X2 + 120000x = 13521600 + 6060000 + -22536x
150X2 + 120000x = 13521600 + 6060000 + -22536x

Combine like terms: 13521600 + 6060000 = 19581600
150X2 + 120000x = 19581600 + -22536x

Add '-120000x' to each side of the equation.
150X2 + 120000x + -120000x = 19581600 + -22536x + -120000x

Combine like terms: 120000x + -120000x = 0
150X2 + 0 = 19581600 + -22536x + -120000x
150X2 = 19581600 + -22536x + -120000x

Combine like terms: -22536x + -120000x = -142536x
150X2 = 19581600 + -142536x

Divide each side by '150'.
X2 = 130544 + -950.24x

Simplifying
X2 = 130544 + -950.24x

Reorder the terms:
-130544 + X2 + 950.24x = 130544 + -950.24x + -130544 + 950.24x

Reorder the terms:
-130544 + X2 + 950.24x = 130544 + -130544 + -950.24x + 950.24x

Combine like terms: 130544 + -130544 = 0
-130544 + X2 + 950.24x = 0 + -950.24x + 950.24x
-130544 + X2 + 950.24x = -950.24x + 950.24x

Combine like terms: -950.24x + 950.24x = 0.00
-130544 + X2 + 950.24x = 0.00

The solution to this equation could not be determined.

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