6y^2-5y+7y^2-3y=

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Solution for 6y^2-5y+7y^2-3y= equation:


Simplifying
6y2 + -5y + 7y2 + -3y = 0

Reorder the terms:
-5y + -3y + 6y2 + 7y2 = 0

Combine like terms: -5y + -3y = -8y
-8y + 6y2 + 7y2 = 0

Combine like terms: 6y2 + 7y2 = 13y2
-8y + 13y2 = 0

Solving
-8y + 13y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-8 + 13y) = 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 '(-8 + 13y)' equal to zero and attempt to solve: Simplifying -8 + 13y = 0 Solving -8 + 13y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 13y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 13y = 0 + 8 13y = 0 + 8 Combine like terms: 0 + 8 = 8 13y = 8 Divide each side by '13'. y = 0.6153846154 Simplifying y = 0.6153846154

Solution

y = {0, 0.6153846154}

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