1600=y^2+60y

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Solution for 1600=y^2+60y equation:


Simplifying
1600 = y2 + 60y

Reorder the terms:
1600 = 60y + y2

Solving
1600 = 60y + y2

Solving for variable 'y'.

Reorder the terms:
1600 + -60y + -1y2 = 60y + -60y + y2 + -1y2

Combine like terms: 60y + -60y = 0
1600 + -60y + -1y2 = 0 + y2 + -1y2
1600 + -60y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
1600 + -60y + -1y2 = 0

Factor a trinomial.
(20 + -1y)(80 + y) = 0

Subproblem 1

Set the factor '(20 + -1y)' equal to zero and attempt to solve: Simplifying 20 + -1y = 0 Solving 20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 0 + -20 -1y = 0 + -20 Combine like terms: 0 + -20 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20

Subproblem 2

Set the factor '(80 + y)' equal to zero and attempt to solve: Simplifying 80 + y = 0 Solving 80 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + y = 0 + -80 Combine like terms: 80 + -80 = 0 0 + y = 0 + -80 y = 0 + -80 Combine like terms: 0 + -80 = -80 y = -80 Simplifying y = -80

Solution

y = {20, -80}

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