0=7+-8y+y^2

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Solution for 0=7+-8y+y^2 equation:


Simplifying
0 = 7 + -8y + y2

Solving
0 = 7 + -8y + y2

Solving for variable 'y'.

Combine like terms: 0 + -7 = -7
-7 + 8y + -1y2 = 7 + -8y + y2 + -7 + 8y + -1y2

Reorder the terms:
-7 + 8y + -1y2 = 7 + -7 + -8y + 8y + y2 + -1y2

Combine like terms: 7 + -7 = 0
-7 + 8y + -1y2 = 0 + -8y + 8y + y2 + -1y2
-7 + 8y + -1y2 = -8y + 8y + y2 + -1y2

Combine like terms: -8y + 8y = 0
-7 + 8y + -1y2 = 0 + y2 + -1y2
-7 + 8y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-7 + 8y + -1y2 = 0

Factor a trinomial.
(-7 + y)(1 + -1y) = 0

Subproblem 1

Set the factor '(-7 + y)' equal to zero and attempt to solve: Simplifying -7 + y = 0 Solving -7 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + y = 0 + 7 y = 0 + 7 Combine like terms: 0 + 7 = 7 y = 7 Simplifying y = 7

Subproblem 2

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

Solution

y = {7, 1}

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