5x^2+4x-105=

Solution for 5x^2+4x-105= equation:

Simplifying
5x2 + 4x + -105 = 0

Reorder the terms:
-105 + 4x + 5x2 = 0

Solving
-105 + 4x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(21 + -5x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(21 + -5x)' equal to zero and attempt to solve:

Simplifying
21 + -5x = 0

Solving
21 + -5x = 0

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

Add '-21' to each side of the equation.
21 + -21 + -5x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 0 + -21
-5x = 0 + -21

Combine like terms: 0 + -21 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2
Solution
x = {-5, 4.2}