0=-56x^2-216x+320

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Solution for 0=-56x^2-216x+320 equation: 


Simplifying
0 = -56x2 + -216x + 320

Reorder the terms:
0 = 320 + -216x + -56x2

Solving
0 = 320 + -216x + -56x2

Solving for variable 'x'.

Combine like terms: 0 + -320 = -320
-320 + 216x + 56x2 = 320 + -216x + -56x2 + -320 + 216x + 56x2

Reorder the terms:
-320 + 216x + 56x2 = 320 + -320 + -216x + 216x + -56x2 + 56x2

Combine like terms: 320 + -320 = 0
-320 + 216x + 56x2 = 0 + -216x + 216x + -56x2 + 56x2
-320 + 216x + 56x2 = -216x + 216x + -56x2 + 56x2

Combine like terms: -216x + 216x = 0
-320 + 216x + 56x2 = 0 + -56x2 + 56x2
-320 + 216x + 56x2 = -56x2 + 56x2

Combine like terms: -56x2 + 56x2 = 0
-320 + 216x + 56x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-40 + 27x + 7x2) = 0

Factor a trinomial.
8((-5 + -1x)(8 + -7x)) = 0

Ignore the factor 8.

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

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

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

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

Simplifying
x = -5

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 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 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-5, 1.142857143}

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