y^2+10y=24

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Solution for y^2+10y=24 equation:


Simplifying
y2 + 10y = 24

Reorder the terms:
10y + y2 = 24

Solving
10y + y2 = 24

Solving for variable 'y'.

Reorder the terms:
-24 + 10y + y2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 10y + y2 = 0

Factor a trinomial.
(-12 + -1y)(2 + -1y) = 0

Subproblem 1

Set the factor '(-12 + -1y)' equal to zero and attempt to solve: Simplifying -12 + -1y = 0 Solving -12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = 0 + 12 -1y = 0 + 12 Combine like terms: 0 + 12 = 12 -1y = 12 Divide each side by '-1'. y = -12 Simplifying y = -12

Subproblem 2

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {-12, 2}

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