27y^4z^4-63y^4z^4-90y^5z^2=

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Solution for 27y^4z^4-63y^4z^4-90y^5z^2= equation:


Simplifying
27y4z4 + -63y4z4 + -90y5z2 = 0

Combine like terms: 27y4z4 + -63y4z4 = -36y4z4
-36y4z4 + -90y5z2 = 0

Solving
-36y4z4 + -90y5z2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-18y4z2'.
-18y4z2(2z2 + 5y) = 0

Ignore the factor -18.

Subproblem 1

Set the factor 'y4z2' equal to zero and attempt to solve: Simplifying y4z2 = 0 Solving y4z2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4z2 = 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 '(2z2 + 5y)' equal to zero and attempt to solve: Simplifying 2z2 + 5y = 0 Reorder the terms: 5y + 2z2 = 0 Solving 5y + 2z2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-2z2' to each side of the equation. 5y + 2z2 + -2z2 = 0 + -2z2 Combine like terms: 2z2 + -2z2 = 0 5y + 0 = 0 + -2z2 5y = 0 + -2z2 Remove the zero: 5y = -2z2 Divide each side by '5'. y = -0.4z2 Simplifying y = -0.4z2

Solution

y = {-0.4z2}

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