0=-2x^2-24x-40

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Solution for 0=-2x^2-24x-40 equation: 


Simplifying
0 = -2x2 + -24x + -40

Reorder the terms:
0 = -40 + -24x + -2x2

Solving
0 = -40 + -24x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + 24x + 2x2 = -40 + -24x + -2x2 + 40 + 24x + 2x2

Reorder the terms:
40 + 24x + 2x2 = -40 + 40 + -24x + 24x + -2x2 + 2x2

Combine like terms: -40 + 40 = 0
40 + 24x + 2x2 = 0 + -24x + 24x + -2x2 + 2x2
40 + 24x + 2x2 = -24x + 24x + -2x2 + 2x2

Combine like terms: -24x + 24x = 0
40 + 24x + 2x2 = 0 + -2x2 + 2x2
40 + 24x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
40 + 24x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 12x + x2) = 0

Factor a trinomial.
2((10 + x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-10, -2}

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