(x)*(5x)*(X-1)=20

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Solution for (x)*(5x)*(X-1)=20 equation:


Simplifying
(x)(5x)(X + -1) = 20

Remove parenthesis around (5x)
x * 5x(X + -1) = 20

Reorder the terms:
x * 5x(-1 + X) = 20

Reorder the terms for easier multiplication:
5x * x(-1 + X) = 20

Multiply x * x
5x2(-1 + X) = 20
(-1 * 5x2 + X * 5x2) = 20
(-5x2 + 5x2X) = 20

Solving
-5x2 + 5x2X = 20

Solving for variable 'x'.

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

Reorder the terms:
-20 + -5x2 + 5x2X = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -5x2 + 5x2X = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -1x2 + x2X) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -1x2 + x2X)' equal to zero and attempt to solve: Simplifying -4 + -1x2 + x2X = 0 Solving -4 + -1x2 + x2X = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1x2 + 4 + x2X = 0 + 4 Reorder the terms: -4 + 4 + -1x2 + x2X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 + x2X = 0 + 4 -1x2 + x2X = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 + x2X = 4 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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