y(y-7)=-10

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Solution for y(y-7)=-10 equation:


Simplifying
y(y + -7) = -10

Reorder the terms:
y(-7 + y) = -10
(-7 * y + y * y) = -10
(-7y + y2) = -10

Solving
-7y + y2 = -10

Solving for variable 'y'.

Reorder the terms:
10 + -7y + y2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -7y + y2 = 0

Factor a trinomial.
(2 + -1y)(5 + -1y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {2, 5}

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