y(y+5)=66

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Solution for y(y+5)=66 equation:


Simplifying
y(y + 5) = 66

Reorder the terms:
y(5 + y) = 66
(5 * y + y * y) = 66
(5y + y2) = 66

Solving
5y + y2 = 66

Solving for variable 'y'.

Reorder the terms:
-66 + 5y + y2 = 66 + -66

Combine like terms: 66 + -66 = 0
-66 + 5y + y2 = 0

Factor a trinomial.
(-11 + -1y)(6 + -1y) = 0

Subproblem 1

Set the factor '(-11 + -1y)' equal to zero and attempt to solve: Simplifying -11 + -1y = 0 Solving -11 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = 0 + 11 -1y = 0 + 11 Combine like terms: 0 + 11 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11

Subproblem 2

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

Solution

y = {-11, 6}

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