3x^2-11x+6-8x-10x^2=

Solution for 3x^2-11x+6-8x-10x^2= equation:

Simplifying
3x2 + -11x + 6 + -8x + -10x2 = 0

Reorder the terms:
6 + -11x + -8x + 3x2 + -10x2 = 0

Combine like terms: -11x + -8x = -19x
6 + -19x + 3x2 + -10x2 = 0

Combine like terms: 3x2 + -10x2 = -7x2
6 + -19x + -7x2 = 0

Solving
6 + -19x + -7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x)(3 + x) = 0

Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0.2857142857, -3}