y^2+3y^2-28y=0

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Solution for y^2+3y^2-28y=0 equation:


Simplifying
y2 + 3y2 + -28y = 0

Reorder the terms:
-28y + y2 + 3y2 = 0

Combine like terms: y2 + 3y2 = 4y2
-28y + 4y2 = 0

Solving
-28y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-7 + y) = 0

Ignore the factor 4.

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 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 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 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7

Solution

y = {0, 7}

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