4y^2+2=(4y+y)+2

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Solution for 4y^2+2=(4y+y)+2 equation: 


Simplifying
4y2 + 2 = (4y + y) + 2

Reorder the terms:
2 + 4y2 = (4y + y) + 2

Combine like terms: 4y + y = 5y
2 + 4y2 = (5y) + 2
2 + 4y2 = (5y) + 2

Reorder the terms:
2 + 4y2 = 2 + (5y)

Add '-2' to each side of the equation.
2 + -2 + 4y2 = 2 + -2 + (5y)

Combine like terms: 2 + -2 = 0
0 + 4y2 = 2 + -2 + (5y)
4y2 = 2 + -2 + (5y)

Combine like terms: 2 + -2 = 0
4y2 = 0 + (5y)
4y2 = (5y)

Solving
4y2 = (5y)

Solving for variable 'y'.

Reorder the terms:
(-5y) + 4y2 = (5y) + (-5y)

Combine like terms: (5y) + (-5y) = 0
(-5y) + 4y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-5 + 4y) = 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 '(-5 + 4y)' equal to zero and attempt to solve:

Simplifying
-5 + 4y = 0

Solving
-5 + 4y = 0

Move all terms containing y to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 4y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 0 + 5
4y = 0 + 5

Combine like terms: 0 + 5 = 5
4y = 5

Divide each side by '4'.
y = 1.25

Simplifying
y = 1.25
Solution
y = {0, 1.25}

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