-4y^2=28y

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Solution for -4y^2=28y equation:


Simplifying
-4y2 = 28y

Solving
-4y2 = 28y

Solving for variable 'y'.

Reorder the terms:
-28y + -4y2 = 28y + -28y

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

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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