4y=y^2-12

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Solution for 4y=y^2-12 equation:


Simplifying
4y = y2 + -12

Reorder the terms:
4y = -12 + y2

Solving
4y = -12 + y2

Solving for variable 'y'.

Reorder the terms:
12 + 4y + -1y2 = -12 + y2 + 12 + -1y2

Reorder the terms:
12 + 4y + -1y2 = -12 + 12 + y2 + -1y2

Combine like terms: -12 + 12 = 0
12 + 4y + -1y2 = 0 + y2 + -1y2
12 + 4y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
12 + 4y + -1y2 = 0

Factor a trinomial.
(6 + -1y)(2 + y) = 0

Subproblem 1

Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6

Subproblem 2

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

Solution

y = {6, -2}

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