(-3-x^2)(5-x^2)=

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Solution for (-3-x^2)(5-x^2)= equation: 


Simplifying
(-3 + -1x2)(5 + -1x2) = 0

Multiply (-3 + -1x2) * (5 + -1x2)
(-3(5 + -1x2) + -1x2 * (5 + -1x2)) = 0
((5 * -3 + -1x2 * -3) + -1x2 * (5 + -1x2)) = 0
((-15 + 3x2) + -1x2 * (5 + -1x2)) = 0
(-15 + 3x2 + (5 * -1x2 + -1x2 * -1x2)) = 0
(-15 + 3x2 + (-5x2 + 1x4)) = 0

Combine like terms: 3x2 + -5x2 = -2x2
(-15 + -2x2 + 1x4) = 0

Solving
-15 + -2x2 + 1x4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x2)(5 + -1x2) = 0


Subproblem 1
Set the factor '(-3 + -1x2)' equal to zero and attempt to solve:

Simplifying
-3 + -1x2 = 0

Solving
-3 + -1x2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x2 = 0 + 3
-1x2 = 0 + 3

Combine like terms: 0 + 3 = 3
-1x2 = 3

Divide each side by '-1'.
x2 = -3

Simplifying
x2 = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + -1x2)' equal to zero and attempt to solve:

Simplifying
5 + -1x2 = 0

Solving
5 + -1x2 = 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 + -1x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x2 = 0 + -5
-1x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1x2 = -5

Divide each side by '-1'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}
Solution
x = {-2.236067978, 2.236067978}

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