7x^2+x-6=2

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

Simplifying
7x2 + x + -6 = 2

Reorder the terms:
-6 + x + 7x2 = 2

Solving
-6 + x + 7x2 = 2

Solving for variable 'x'.

Reorder the terms:
-6 + -2 + x + 7x2 = 2 + -2

Combine like terms: -6 + -2 = -8
-8 + x + 7x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-8 + x + 7x2 = 0

Factor a trinomial.
(-8 + -7x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve:

Simplifying
-8 + -7x = 0

Solving
-8 + -7x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 0 + 8
-7x = 0 + 8

Combine like terms: 0 + 8 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143
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 = {-1.142857143, 1}