2592=144y-2y^2

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Solution for 2592=144y-2y^2 equation:


Simplifying
2592 = 144y + -2y2

Solving
2592 = 144y + -2y2

Solving for variable 'y'.

Reorder the terms:
2592 + -144y + 2y2 = 144y + -144y + -2y2 + 2y2

Combine like terms: 144y + -144y = 0
2592 + -144y + 2y2 = 0 + -2y2 + 2y2
2592 + -144y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
2592 + -144y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1296 + -72y + y2) = 0

Factor a trinomial.
2((36 + -1y)(36 + -1y)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(36 + -1y)' equal to zero and attempt to solve: Simplifying 36 + -1y = 0 Solving 36 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = 0 + -36 -1y = 0 + -36 Combine like terms: 0 + -36 = -36 -1y = -36 Divide each side by '-1'. y = 36 Simplifying y = 36

Subproblem 2

Set the factor '(36 + -1y)' equal to zero and attempt to solve: Simplifying 36 + -1y = 0 Solving 36 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1y = 0 + -36 -1y = 0 + -36 Combine like terms: 0 + -36 = -36 -1y = -36 Divide each side by '-1'. y = 36 Simplifying y = 36

Solution

y = {36, 36}

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