(40-2X)*(40-2X)*X=2000

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Solution for (40-2X)*(40-2X)*X=2000 equation:


Simplifying
(40 + -2X)(40 + -2X) * X = 2000

Reorder the terms for easier multiplication:
X(40 + -2X)(40 + -2X) = 2000

Multiply (40 + -2X) * (40 + -2X)
X(40(40 + -2X) + -2X * (40 + -2X)) = 2000
X((40 * 40 + -2X * 40) + -2X * (40 + -2X)) = 2000
X((1600 + -80X) + -2X * (40 + -2X)) = 2000
X(1600 + -80X + (40 * -2X + -2X * -2X)) = 2000
X(1600 + -80X + (-80X + 4X2)) = 2000

Combine like terms: -80X + -80X = -160X
X(1600 + -160X + 4X2) = 2000
(1600 * X + -160X * X + 4X2 * X) = 2000
(1600X + -160X2 + 4X3) = 2000

Solving
1600X + -160X2 + 4X3 = 2000

Solving for variable 'X'.

Reorder the terms:
-2000 + 1600X + -160X2 + 4X3 = 2000 + -2000

Combine like terms: 2000 + -2000 = 0
-2000 + 1600X + -160X2 + 4X3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-500 + 400X + -40X2 + X3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-500 + 400X + -40X2 + X3)' equal to zero and attempt to solve: Simplifying -500 + 400X + -40X2 + X3 = 0 Solving -500 + 400X + -40X2 + X3 = 0 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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