56X^2-16X-40=0

Solution for 56X^2-16X-40=0 equation:

Simplifying
56X2 + -16X + -40 = 0

Reorder the terms:
-40 + -16X + 56X2 = 0

Solving
-40 + -16X + 56X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-5 + -2X + 7X2) = 0

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

Ignore the factor 8.
Subproblem 1
Set the factor '(-5 + -7X)' equal to zero and attempt to solve:

Simplifying
-5 + -7X = 0

Solving
-5 + -7X = 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 + -7X = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7X = 0 + 5
-7X = 0 + 5

Combine like terms: 0 + 5 = 5
-7X = 5

Divide each side by '-7'.
X = -0.7142857143

Simplifying
X = -0.7142857143
Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve:

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1X = 0 + -1
-1X = 0 + -1

Combine like terms: 0 + -1 = -1
-1X = -1

Divide each side by '-1'.
X = 1

Simplifying
X = 1
Solution
X = {-0.7142857143, 1}