25y^2-30yz+9z^2=

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Solution for 25y^2-30yz+9z^2= equation:


Simplifying
25y2 + -30yz + 9z2 = 0

Reorder the terms:
-30yz + 25y2 + 9z2 = 0

Solving
-30yz + 25y2 + 9z2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5y + -3z)(5y + -3z) = 0

Subproblem 1

Set the factor '(5y + -3z)' equal to zero and attempt to solve: Simplifying 5y + -3z = 0 Solving 5y + -3z = 0 Move all terms containing y to the left, all other terms to the right. Add '3z' to each side of the equation. 5y + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 5y + 0 = 0 + 3z 5y = 0 + 3z Remove the zero: 5y = 3z Divide each side by '5'. y = 0.6z Simplifying y = 0.6z

Subproblem 2

Set the factor '(5y + -3z)' equal to zero and attempt to solve: Simplifying 5y + -3z = 0 Solving 5y + -3z = 0 Move all terms containing y to the left, all other terms to the right. Add '3z' to each side of the equation. 5y + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 5y + 0 = 0 + 3z 5y = 0 + 3z Remove the zero: 5y = 3z Divide each side by '5'. y = 0.6z Simplifying y = 0.6z

Solution

y = {0.6z, 0.6z}

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