0=2x^2-9x-56

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Solution for 0=2x^2-9x-56 equation: 


Simplifying
0 = 2x2 + -9x + -56

Reorder the terms:
0 = -56 + -9x + 2x2

Solving
0 = -56 + -9x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 56 = 56
56 + 9x + -2x2 = -56 + -9x + 2x2 + 56 + 9x + -2x2

Reorder the terms:
56 + 9x + -2x2 = -56 + 56 + -9x + 9x + 2x2 + -2x2

Combine like terms: -56 + 56 = 0
56 + 9x + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
56 + 9x + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
56 + 9x + -2x2 = 0 + 2x2 + -2x2
56 + 9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + 9x + -2x2 = 0

Factor a trinomial.
(8 + -1x)(7 + 2x) = 0


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 '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {8, -3.5}

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