15=8x^2+-24x-305

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Solution for 15=8x^2+-24x-305 equation: 


Simplifying
15 = 8x2 + -24x + -305

Reorder the terms:
15 = -305 + -24x + 8x2

Solving
15 = -305 + -24x + 8x2

Solving for variable 'x'.

Combine like terms: 15 + 305 = 320
320 + 24x + -8x2 = -305 + -24x + 8x2 + 305 + 24x + -8x2

Reorder the terms:
320 + 24x + -8x2 = -305 + 305 + -24x + 24x + 8x2 + -8x2

Combine like terms: -305 + 305 = 0
320 + 24x + -8x2 = 0 + -24x + 24x + 8x2 + -8x2
320 + 24x + -8x2 = -24x + 24x + 8x2 + -8x2

Combine like terms: -24x + 24x = 0
320 + 24x + -8x2 = 0 + 8x2 + -8x2
320 + 24x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
320 + 24x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(40 + 3x + -1x2) = 0

Factor a trinomial.
8((8 + -1x)(5 + x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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 = {8, -5}

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