7x^2-41x-48=0

Solution for 7x^2-41x-48=0 equation:

Simplifying
7x2 + -41x + -48 = 0

Reorder the terms:
-48 + -41x + 7x2 = 0

Solving
-48 + -41x + 7x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(48 + -7x) = 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 '(48 + -7x)' equal to zero and attempt to solve:

Simplifying
48 + -7x = 0

Solving
48 + -7x = 0

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

Add '-48' to each side of the equation.
48 + -48 + -7x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -7x = 0 + -48
-7x = 0 + -48

Combine like terms: 0 + -48 = -48
-7x = -48

Divide each side by '-7'.
x = 6.857142857

Simplifying
x = 6.857142857
Solution
x = {-1, 6.857142857}