sqrt(x^4-x^3-20x^2)=0

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Solution for sqrt(x^4-x^3-20x^2)=0 equation:


Simplifying
sqrt(x4 + -1x3 + -20x2) = 0

Reorder the terms:
qrst(-20x2 + -1x3 + x4) = 0
(-20x2 * qrst + -1x3 * qrst + x4 * qrst) = 0
(-20qrstx2 + -1qrstx3 + qrstx4) = 0

Solving
-20qrstx2 + -1qrstx3 + qrstx4 = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), 'qrstx2'.
qrstx2(-20 + -1x + x2) = 0

Factor a trinomial.
qrstx2((-4 + -1x)(5 + -1x)) = 0

Subproblem 1

Set the factor 'qrstx2' equal to zero and attempt to solve: Simplifying qrstx2 = 0 Solving qrstx2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrstx2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Add 'x' to each side of the equation. -1x + x = 4 + x Combine like terms: -1x + x = 0 0 = 4 + x Simplifying 0 = 4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x 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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