Question

foctorise the following
y ² + 8y - 105​

Answer 1

Step-by-step explanation:

Simplifying

y2 + 8y + -105 = 0

Reorder the terms:

-105 + 8y + y2 = 0

Solving

-105 + 8y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.

(-15 + -1y)(7 + -1y) = 0

Subproblem 1

Set the factor '(-15 + -1y)' equal to zero and attempt to solve:

Simplifying

-15 + -1y = 0

Solving

-15 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + -1y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + -1y = 0 + 15

-1y = 0 + 15

Combine like terms: 0 + 15 = 15

-1y = 15

Divide each side by '-1'.

y = -15

Simplifying

y = -15