35=(q-1)(q+1)

Solution for 35=(q-1)(q+1) equation:

Simplifying
35 = (q + -1)(q + 1)

Reorder the terms:
35 = (-1 + q)(q + 1)

Reorder the terms:
35 = (-1 + q)(1 + q)

Multiply (-1 + q) * (1 + q)
35 = (-1(1 + q) + q(1 + q))
35 = ((1 * -1 + q * -1) + q(1 + q))
35 = ((-1 + -1q) + q(1 + q))
35 = (-1 + -1q + (1 * q + q * q))
35 = (-1 + -1q + (1q + q2))

Combine like terms: -1q + 1q = 0
35 = (-1 + 0 + q2)
35 = (-1 + q2)

Solving
35 = -1 + q2

Solving for variable 'q'.

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

Add '-1q2' to each side of the equation.
35 + -1q2 = -1 + q2 + -1q2

Combine like terms: q2 + -1q2 = 0
35 + -1q2 = -1 + 0
35 + -1q2 = -1

Add '-35' to each side of the equation.
35 + -35 + -1q2 = -1 + -35

Combine like terms: 35 + -35 = 0
0 + -1q2 = -1 + -35
-1q2 = -1 + -35

Combine like terms: -1 + -35 = -36
-1q2 = -36

Divide each side by '-1'.
q2 = 36

Simplifying
q2 = 36

Take the square root of each side:
q = {-6, 6}