(20-2x)(25-2x)x=484

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Solution for (20-2x)(25-2x)x=484 equation:


Simplifying
(20 + -2x)(25 + -2x) * x = 484

Reorder the terms for easier multiplication:
x(20 + -2x)(25 + -2x) = 484

Multiply (20 + -2x) * (25 + -2x)
x(20(25 + -2x) + -2x * (25 + -2x)) = 484
x((25 * 20 + -2x * 20) + -2x * (25 + -2x)) = 484
x((500 + -40x) + -2x * (25 + -2x)) = 484
x(500 + -40x + (25 * -2x + -2x * -2x)) = 484
x(500 + -40x + (-50x + 4x2)) = 484

Combine like terms: -40x + -50x = -90x
x(500 + -90x + 4x2) = 484
(500 * x + -90x * x + 4x2 * x) = 484
(500x + -90x2 + 4x3) = 484

Solving
500x + -90x2 + 4x3 = 484

Solving for variable 'x'.

Reorder the terms:
-484 + 500x + -90x2 + 4x3 = 484 + -484

Combine like terms: 484 + -484 = 0
-484 + 500x + -90x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-242 + 250x + -45x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-242 + 250x + -45x2 + 2x3)' equal to zero and attempt to solve: Simplifying -242 + 250x + -45x2 + 2x3 = 0 Solving -242 + 250x + -45x2 + 2x3 = 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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