Which of the following are solutions to 2x^2-8x-90? select all that apply.

Simplifying:

2x2 + - 8x + - 90 = 0

Reorder the terms:

-90 + - 8x + 2x2 = 0

Solving

-90 + - 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.

2 (-45 + - 4x + x2) = 0

Factor a trinomial.

2 ((-5 + - 1x) (9 + - 1x)) = 0

Ignore the factor 2.

Subproblem 1:

Set the factor ' (-5 + - 1x) ' equal to zero and attempt to solve:

Simplifying

-5 + - 1x = 0

Solving

-5 + - 1x = 0

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

Add '5' to each side of the equation.

-5 + 5 + - 1x = 0 + 5

Combine like terms:

-5 + 5 = 0 0 + - 1x = 0 + 5 - 1x = 0 + 5

Combine like terms:

0 + 5 = 5 - 1x = 5

Divide each side by '-1'.

x = - 5

Simplifying

x = - 5

Subproblem 2:

Set the factor ' (9 + - 1x) ' equal to zero and attempt to solve:

Simplifying

9 + - 1x = 0

Solving

9 + - 1x = 0

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

Add '-9' to each side of the equation.

9 + - 9 + - 1x = 0 + - 9

Combine like terms:

9 + - 9 = 0 0 + - 1x = 0 + - 9 - 1x = 0 + - 9

Combine like terms:

0 + - 9 = - 9 - 1x = - 9

Divide each side by '-1'.

x = 9

Simplifying x = 9

Solution

x = {-5, 9}