-1(x^2-2x-35)=0

Solution for -1(x^2-2x-35)=0 equation:

Simplifying
-1(x2 + -2x + -35) = 0

Reorder the terms:
-1(-35 + -2x + x2) = 0
(-35 * -1 + -2x * -1 + x2 * -1) = 0
(35 + 2x + -1x2) = 0

Solving
35 + 2x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -1x)(5 + x) = 0

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {7, -5}