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

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

Simplifying
-2(x + -3)(x + 5) = 0

Reorder the terms:
-2(-3 + x)(x + 5) = 0

Reorder the terms:
-2(-3 + x)(5 + x) = 0

Multiply (-3 + x) * (5 + x)
-2(-3(5 + x) + x(5 + x)) = 0
-2((5 * -3 + x * -3) + x(5 + x)) = 0
-2((-15 + -3x) + x(5 + x)) = 0
-2(-15 + -3x + (5 * x + x * x)) = 0
-2(-15 + -3x + (5x + x2)) = 0

Combine like terms: -3x + 5x = 2x
-2(-15 + 2x + x2) = 0
(-15 * -2 + 2x * -2 + x2 * -2) = 0
(30 + -4x + -2x2) = 0

Solving
30 + -4x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -2x + -1x2) = 0

Factor a trinomial.
2((3 + -1x)(5 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

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

Simplifying
x = 3
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 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 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {3, -5}