7x^2-11x-5=1

Solution for 7x^2-11x-5=1 equation:

Simplifying
7x2 + -11x + -5 = 1

Reorder the terms:
-5 + -11x + 7x2 = 1

Solving
-5 + -11x + 7x2 = 1

Solving for variable 'x'.

Reorder the terms:
-5 + -1 + -11x + 7x2 = 1 + -1

Combine like terms: -5 + -1 = -6
-6 + -11x + 7x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-6 + -11x + 7x2 = 0

Factor a trinomial.
(-3 + -7x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve:

Simplifying
-3 + -7x = 0

Solving
-3 + -7x = 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 + -7x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = 0 + 3
-7x = 0 + 3

Combine like terms: 0 + 3 = 3
-7x = 3

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.4285714286, 2}