100=y(21+y)

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Solution for 100=y(21+y) equation:


Simplifying
100 = y(21 + y)
100 = (21 * y + y * y)
100 = (21y + y2)

Solving
100 = 21y + y2

Solving for variable 'y'.

Reorder the terms:
100 + -21y + -1y2 = 21y + -21y + y2 + -1y2

Combine like terms: 21y + -21y = 0
100 + -21y + -1y2 = 0 + y2 + -1y2
100 + -21y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
100 + -21y + -1y2 = 0

Factor a trinomial.
(4 + -1y)(25 + y) = 0

Subproblem 1

Set the factor '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Subproblem 2

Set the factor '(25 + y)' equal to zero and attempt to solve: Simplifying 25 + y = 0 Solving 25 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + y = 0 + -25 y = 0 + -25 Combine like terms: 0 + -25 = -25 y = -25 Simplifying y = -25

Solution

y = {4, -25}

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