0=21x^2-47x-48

Solution for 0=21x^2-47x-48 equation:

Simplifying
0 = 21x2 + -47x + -48

Reorder the terms:
0 = -48 + -47x + 21x2

Solving
0 = -48 + -47x + 21x2

Solving for variable 'x'.

Combine like terms: 0 + 48 = 48
48 + 47x + -21x2 = -48 + -47x + 21x2 + 48 + 47x + -21x2

Reorder the terms:
48 + 47x + -21x2 = -48 + 48 + -47x + 47x + 21x2 + -21x2

Combine like terms: -48 + 48 = 0
48 + 47x + -21x2 = 0 + -47x + 47x + 21x2 + -21x2
48 + 47x + -21x2 = -47x + 47x + 21x2 + -21x2

Combine like terms: -47x + 47x = 0
48 + 47x + -21x2 = 0 + 21x2 + -21x2
48 + 47x + -21x2 = 21x2 + -21x2

Combine like terms: 21x2 + -21x2 = 0
48 + 47x + -21x2 = 0

Factor a trinomial.
(3 + -1x)(16 + 21x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(16 + 21x)' equal to zero and attempt to solve:

Simplifying
16 + 21x = 0

Solving
16 + 21x = 0

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

Add '-16' to each side of the equation.
16 + -16 + 21x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 21x = 0 + -16
21x = 0 + -16

Combine like terms: 0 + -16 = -16
21x = -16

Divide each side by '21'.
x = -0.7619047619

Simplifying
x = -0.7619047619
Solution
x = {3, -0.7619047619}