300=(30-2x)(20-2x)X

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Solution for 300=(30-2x)(20-2x)X equation: 


Simplifying
300 = (30 + -2x)(20 + -2x) * X

Reorder the terms for easier multiplication:
300 = X(30 + -2x)(20 + -2x)

Multiply (30 + -2x) * (20 + -2x)
300 = X(30(20 + -2x) + -2x * (20 + -2x))
300 = X((20 * 30 + -2x * 30) + -2x * (20 + -2x))
300 = X((600 + -60x) + -2x * (20 + -2x))
300 = X(600 + -60x + (20 * -2x + -2x * -2x))
300 = X(600 + -60x + (-40x + 4x2))

Combine like terms: -60x + -40x = -100x
300 = X(600 + -100x + 4x2)
300 = (600 * X + -100x * X + 4x2 * X)
300 = (600X + -100xX + 4x2X)

Solving
300 = 600X + -100xX + 4x2X

Solving for variable 'X'.

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

Add '-600X' to each side of the equation.
300 + -600X = 600X + -100xX + -600X + 4x2X

Reorder the terms:
300 + -600X = 600X + -600X + -100xX + 4x2X

Combine like terms: 600X + -600X = 0
300 + -600X = 0 + -100xX + 4x2X
300 + -600X = -100xX + 4x2X

Add '100xX' to each side of the equation.
300 + -600X + 100xX = -100xX + 100xX + 4x2X

Combine like terms: -100xX + 100xX = 0
300 + -600X + 100xX = 0 + 4x2X
300 + -600X + 100xX = 4x2X

Add '-4x2X' to each side of the equation.
300 + -600X + 100xX + -4x2X = 4x2X + -4x2X

Combine like terms: 4x2X + -4x2X = 0
300 + -600X + 100xX + -4x2X = 0

Add '-300' to each side of the equation.
300 + -600X + 100xX + -300 + -4x2X = 0 + -300

Reorder the terms:
300 + -300 + -600X + 100xX + -4x2X = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -600X + 100xX + -4x2X = 0 + -300
-600X + 100xX + -4x2X = 0 + -300

Combine like terms: 0 + -300 = -300
-600X + 100xX + -4x2X = -300

Reorder the terms:
300 + -600X + 100xX + -4x2X = -300 + 300

Combine like terms: -300 + 300 = 0
300 + -600X + 100xX + -4x2X = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(75 + -150X + 25xX + -1x2X) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(75 + -150X + 25xX + -1x2X)' equal to zero and attempt to solve:

Simplifying
75 + -150X + 25xX + -1x2X = 0

Solving
75 + -150X + 25xX + -1x2X = 0

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

Add '-75' to each side of the equation.
75 + -150X + 25xX + -75 + -1x2X = 0 + -75

Reorder the terms:
75 + -75 + -150X + 25xX + -1x2X = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -150X + 25xX + -1x2X = 0 + -75
-150X + 25xX + -1x2X = 0 + -75

Combine like terms: 0 + -75 = -75
-150X + 25xX + -1x2X = -75

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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