65x^2-16x-49=0

Solution for 65x^2-16x-49=0 equation:

Simplifying
65x2 + -16x + -49 = 0

Reorder the terms:
-49 + -16x + 65x2 = 0

Solving
-49 + -16x + 65x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-49 + -65x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-49 + -65x)' equal to zero and attempt to solve:

Simplifying
-49 + -65x = 0

Solving
-49 + -65x = 0

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

Add '49' to each side of the equation.
-49 + 49 + -65x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + -65x = 0 + 49
-65x = 0 + 49

Combine like terms: 0 + 49 = 49
-65x = 49

Divide each side by '-65'.
x = -0.7538461538

Simplifying
x = -0.7538461538
Subproblem 2
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
Solution
x = {-0.7538461538, 1}