facto
rise
y² + y - 56
Answers
Answer:
Step-by-step explanation:
Simplifying
y2 + y + -56 = 0
Reorder the terms:
-56 + y + y2 = 0
Solving
-56 + y + y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(-8 + -1y)(7 + -1y) = 0
Subproblem 1
Set the factor '(-8 + -1y)' equal to zero and attempt to solve:
Simplifying
-8 + -1y = 0
Solving
-8 + -1y = 0
Move all terms containing y to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + -1y = 0 + 8
Combine like terms: -8 + 8 = 0
0 + -1y = 0 + 8
-1y = 0 + 8
Combine like terms: 0 + 8 = 8
-1y = 8
Divide each side by '-1'.
y = -8
Simplifying
y = -8
Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:
Simplifying
7 + -1y = 0
Solving
7 + -1y = 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 + -1y = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7
Combine like terms: 0 + -7 = -7
-1y = -7
Divide each side by '-1'.
y = 7
Simplifying
y = 7
Solution
y = {-8, 7}