10X^2-17X-20=0

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Solution for 10X^2-17X-20=0 equation: 


Simplifying
10X2 + -17X + -20 = 0

Reorder the terms:
-20 + -17X + 10X2 = 0

Solving
-20 + -17X + 10X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-4 + -5X)(5 + -2X) = 0


Subproblem 1
Set the factor '(-4 + -5X)' equal to zero and attempt to solve:

Simplifying
-4 + -5X = 0

Solving
-4 + -5X = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5X = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5X = 0 + 4
-5X = 0 + 4

Combine like terms: 0 + 4 = 4
-5X = 4

Divide each side by '-5'.
X = -0.8

Simplifying
X = -0.8

Subproblem 2
Set the factor '(5 + -2X)' equal to zero and attempt to solve:

Simplifying
5 + -2X = 0

Solving
5 + -2X = 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 + -2X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2X = 0 + -5
-2X = 0 + -5

Combine like terms: 0 + -5 = -5
-2X = -5

Divide each side by '-2'.
X = 2.5

Simplifying
X = 2.5
Solution
X = {-0.8, 2.5}

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