-10x^2=-8x-2

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

Simplifying
-10x2 = -8x + -2

Reorder the terms:
-10x2 = -2 + -8x

Solving
-10x2 = -2 + -8x

Solving for variable 'x'.

Reorder the terms:
2 + 8x + -10x2 = -2 + -8x + 2 + 8x

Reorder the terms:
2 + 8x + -10x2 = -2 + 2 + -8x + 8x

Combine like terms: -2 + 2 = 0
2 + 8x + -10x2 = 0 + -8x + 8x
2 + 8x + -10x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
2 + 8x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 4x + -5x2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
x = {1, -0.2}