(4O-2x)(60-2x)=1664

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Solution for (4O-2x)(60-2x)=1664 equation: 


Simplifying
(4O + -2x)(60 + -2x) = 1664

Multiply (4O + -2x) * (60 + -2x)
(4O * (60 + -2x) + -2x * (60 + -2x)) = 1664
((60 * 4O + -2x * 4O) + -2x * (60 + -2x)) = 1664
((240O + -8xO) + -2x * (60 + -2x)) = 1664
(240O + -8xO + (60 * -2x + -2x * -2x)) = 1664
(240O + -8xO + (-120x + 4x2)) = 1664

Reorder the terms:
(240O + -120x + -8xO + 4x2) = 1664
(240O + -120x + -8xO + 4x2) = 1664

Solving
240O + -120x + -8xO + 4x2 = 1664

Solving for variable 'O'.

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

Add '120x' to each side of the equation.
240O + -120x + -8xO + 120x + 4x2 = 1664 + 120x

Reorder the terms:
240O + -120x + 120x + -8xO + 4x2 = 1664 + 120x

Combine like terms: -120x + 120x = 0
240O + 0 + -8xO + 4x2 = 1664 + 120x
240O + -8xO + 4x2 = 1664 + 120x

Add '-4x2' to each side of the equation.
240O + -8xO + 4x2 + -4x2 = 1664 + 120x + -4x2

Combine like terms: 4x2 + -4x2 = 0
240O + -8xO + 0 = 1664 + 120x + -4x2
240O + -8xO = 1664 + 120x + -4x2

Reorder the terms:
-1664 + 240O + -120x + -8xO + 4x2 = 1664 + 120x + -4x2 + -1664 + -120x + 4x2

Reorder the terms:
-1664 + 240O + -120x + -8xO + 4x2 = 1664 + -1664 + 120x + -120x + -4x2 + 4x2

Combine like terms: 1664 + -1664 = 0
-1664 + 240O + -120x + -8xO + 4x2 = 0 + 120x + -120x + -4x2 + 4x2
-1664 + 240O + -120x + -8xO + 4x2 = 120x + -120x + -4x2 + 4x2

Combine like terms: 120x + -120x = 0
-1664 + 240O + -120x + -8xO + 4x2 = 0 + -4x2 + 4x2
-1664 + 240O + -120x + -8xO + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-1664 + 240O + -120x + -8xO + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-416 + 60O + -30x + -2xO + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-416 + 60O + -30x + -2xO + x2)' equal to zero and attempt to solve:

Simplifying
-416 + 60O + -30x + -2xO + x2 = 0

Solving
-416 + 60O + -30x + -2xO + x2 = 0

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

Add '416' to each side of the equation.
-416 + 60O + -30x + -2xO + 416 + x2 = 0 + 416

Reorder the terms:
-416 + 416 + 60O + -30x + -2xO + x2 = 0 + 416

Combine like terms: -416 + 416 = 0
0 + 60O + -30x + -2xO + x2 = 0 + 416
60O + -30x + -2xO + x2 = 0 + 416

Combine like terms: 0 + 416 = 416
60O + -30x + -2xO + x2 = 416

Add '30x' to each side of the equation.
60O + -30x + -2xO + 30x + x2 = 416 + 30x

Reorder the terms:
60O + -30x + 30x + -2xO + x2 = 416 + 30x

Combine like terms: -30x + 30x = 0
60O + 0 + -2xO + x2 = 416 + 30x
60O + -2xO + x2 = 416 + 30x

Add '-1x2' to each side of the equation.
60O + -2xO + x2 + -1x2 = 416 + 30x + -1x2

Combine like terms: x2 + -1x2 = 0
60O + -2xO + 0 = 416 + 30x + -1x2
60O + -2xO = 416 + 30x + -1x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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