3y^2-5y+2y^2-6y=

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Solution for 3y^2-5y+2y^2-6y= equation:


Simplifying
3y2 + -5y + 2y2 + -6y = 0

Reorder the terms:
-5y + -6y + 3y2 + 2y2 = 0

Combine like terms: -5y + -6y = -11y
-11y + 3y2 + 2y2 = 0

Combine like terms: 3y2 + 2y2 = 5y2
-11y + 5y2 = 0

Solving
-11y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-11 + 5y) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-11 + 5y)' equal to zero and attempt to solve: Simplifying -11 + 5y = 0 Solving -11 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 5y = 0 + 11 5y = 0 + 11 Combine like terms: 0 + 11 = 11 5y = 11 Divide each side by '5'. y = 2.2 Simplifying y = 2.2

Solution

y = {0, 2.2}

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