10X^2-8X=2

Solution for 10X^2-8X=2 equation:

Simplifying
10X2 + -8X = 2

Reorder the terms:
-8X + 10X2 = 2

Solving
-8X + 10X2 = 2

Solving for variable 'X'.

Reorder the terms:
-2 + -8X + 10X2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -8X + 10X2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -4X + 5X2) = 0

Factor a trinomial.
2((-1 + -5X)(1 + -1X)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -5X)' equal to zero and attempt to solve:

Simplifying
-1 + -5X = 0

Solving
-1 + -5X = 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 + -5X = 0 + 1

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

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

Divide each side by '-5'.
X = -0.2

Simplifying
X = -0.2
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 = {-0.2, 1}