(x-2)(11x+35)=0

Solution for (x-2)(11x+35)=0 equation:

Simplifying
(x + -2)(11x + 35) = 0

Reorder the terms:
(-2 + x)(11x + 35) = 0

Reorder the terms:
(-2 + x)(35 + 11x) = 0

Multiply (-2 + x) * (35 + 11x)
(-2(35 + 11x) + x(35 + 11x)) = 0
((35 * -2 + 11x * -2) + x(35 + 11x)) = 0
((-70 + -22x) + x(35 + 11x)) = 0
(-70 + -22x + (35 * x + 11x * x)) = 0
(-70 + -22x + (35x + 11x2)) = 0

Combine like terms: -22x + 35x = 13x
(-70 + 13x + 11x2) = 0

Solving
-70 + 13x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-35 + -11x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-35 + -11x)' equal to zero and attempt to solve:

Simplifying
-35 + -11x = 0

Solving
-35 + -11x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -11x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -11x = 0 + 35
-11x = 0 + 35

Combine like terms: 0 + 35 = 35
-11x = 35

Divide each side by '-11'.
x = -3.181818182

Simplifying
x = -3.181818182
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-3.181818182, 2}