7w^2-6=w

Solution for 7w^2-6=w equation:

Simplifying
7w2 + -6 = w

Reorder the terms:
-6 + 7w2 = w

Solving
-6 + 7w2 = w

Solving for variable 'w'.

Reorder the terms:
-6 + -1w + 7w2 = w + -1w

Combine like terms: w + -1w = 0
-6 + -1w + 7w2 = 0

Factor a trinomial.
(-6 + -7w)(1 + -1w) = 0

Subproblem 1
Set the factor '(-6 + -7w)' equal to zero and attempt to solve:

Simplifying
-6 + -7w = 0

Solving
-6 + -7w = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7w = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7w = 0 + 6
-7w = 0 + 6

Combine like terms: 0 + 6 = 6
-7w = 6

Divide each side by '-7'.
w = -0.8571428571

Simplifying
w = -0.8571428571
Subproblem 2
Set the factor '(1 + -1w)' equal to zero and attempt to solve:

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1w = 0 + -1

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

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

Divide each side by '-1'.
w = 1

Simplifying
w = 1
Solution
w = {-0.8571428571, 1}