y(y+4)-10(y+4)=

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Solution for y(y+4)-10(y+4)= equation:


Simplifying
y(y + 4) + -10(y + 4) = 0

Reorder the terms:
y(4 + y) + -10(y + 4) = 0
(4 * y + y * y) + -10(y + 4) = 0
(4y + y2) + -10(y + 4) = 0

Reorder the terms:
4y + y2 + -10(4 + y) = 0
4y + y2 + (4 * -10 + y * -10) = 0
4y + y2 + (-40 + -10y) = 0

Reorder the terms:
-40 + 4y + -10y + y2 = 0

Combine like terms: 4y + -10y = -6y
-40 + -6y + y2 = 0

Solving
-40 + -6y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(10 + -1y) = 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 '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10

Solution

y = {-4, 10}

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