4y^2+6y+2y^2-3y=

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Solution for 4y^2+6y+2y^2-3y= equation:


Simplifying
4y2 + 6y + 2y2 + -3y = 0

Reorder the terms:
6y + -3y + 4y2 + 2y2 = 0

Combine like terms: 6y + -3y = 3y
3y + 4y2 + 2y2 = 0

Combine like terms: 4y2 + 2y2 = 6y2
3y + 6y2 = 0

Solving
3y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(1 + 2y) = 0

Ignore the factor 3.

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 '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5

Solution

y = {0, -0.5}

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