4x^2-17x-21=0

Solution for 4x^2-17x-21=0 equation:

Simplifying
4x2 + -17x + -21 = 0

Reorder the terms:
-21 + -17x + 4x2 = 0

Solving
-21 + -17x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(21 + -4x) = 0

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(21 + -4x)' equal to zero and attempt to solve:

Simplifying
21 + -4x = 0

Solving
21 + -4x = 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 + -4x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -4x = 0 + -21
-4x = 0 + -21

Combine like terms: 0 + -21 = -21
-4x = -21

Divide each side by '-4'.
x = 5.25

Simplifying
x = 5.25
Solution
x = {-1, 5.25}