21x^2-53x-30=0

Solution for 21x^2-53x-30=0 equation:

Simplifying
21x2 + -53x + -30 = 0

Reorder the terms:
-30 + -53x + 21x2 = 0

Solving
-30 + -53x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -21x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-10 + -21x)' equal to zero and attempt to solve:

Simplifying
-10 + -21x = 0

Solving
-10 + -21x = 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 + -21x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -21x = 0 + 10
-21x = 0 + 10

Combine like terms: 0 + 10 = 10
-21x = 10

Divide each side by '-21'.
x = -0.4761904762

Simplifying
x = -0.4761904762
Subproblem 2
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
Solution
x = {-0.4761904762, 3}