6-10x^2-8x=4

Solution for 6-10x^2-8x=4 equation:

Simplifying
6 + -10x2 + -8x = 4

Reorder the terms:
6 + -8x + -10x2 = 4

Solving
6 + -8x + -10x2 = 4

Solving for variable 'x'.

Reorder the terms:
6 + -4 + -8x + -10x2 = 4 + -4

Combine like terms: 6 + -4 = 2
2 + -8x + -10x2 = 4 + -4

Combine like terms: 4 + -4 = 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 + x)) = 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 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {0.2, -1}