6x^2+7x-23=10

Solution for 6x^2+7x-23=10 equation:

Simplifying
6x2 + 7x + -23 = 10

Reorder the terms:
-23 + 7x + 6x2 = 10

Solving
-23 + 7x + 6x2 = 10

Solving for variable 'x'.

Reorder the terms:
-23 + -10 + 7x + 6x2 = 10 + -10

Combine like terms: -23 + -10 = -33
-33 + 7x + 6x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-33 + 7x + 6x2 = 0

Factor a trinomial.
(-3 + -1x)(11 + -6x) = 0

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(11 + -6x)' equal to zero and attempt to solve:

Simplifying
11 + -6x = 0

Solving
11 + -6x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -6x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = 0 + -11
-6x = 0 + -11

Combine like terms: 0 + -11 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333
Solution
x = {-3, 1.833333333}