4y^2-5y+6y^2-2y=

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Solution for 4y^2-5y+6y^2-2y= equation:


Simplifying
4y2 + -5y + 6y2 + -2y = 0

Reorder the terms:
-5y + -2y + 4y2 + 6y2 = 0

Combine like terms: -5y + -2y = -7y
-7y + 4y2 + 6y2 = 0

Combine like terms: 4y2 + 6y2 = 10y2
-7y + 10y2 = 0

Solving
-7y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-7 + 10y) = 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 '(-7 + 10y)' equal to zero and attempt to solve: Simplifying -7 + 10y = 0 Solving -7 + 10y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10y = 0 + 7 10y = 0 + 7 Combine like terms: 0 + 7 = 7 10y = 7 Divide each side by '10'. y = 0.7 Simplifying y = 0.7

Solution

y = {0, 0.7}

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