x(x+17)=-70

Solution for x(x+17)=-70 equation:

Simplifying
x(x + 17) = -70

Reorder the terms:
x(17 + x) = -70
(17 * x + x * x) = -70
(17x + x2) = -70

Solving
17x + x2 = -70

Solving for variable 'x'.

Reorder the terms:
70 + 17x + x2 = -70 + 70

Combine like terms: -70 + 70 = 0
70 + 17x + x2 = 0

Factor a trinomial.
(10 + x)(7 + x) = 0

Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

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

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

Simplifying
x = -7
Solution
x = {-10, -7}