x^2-7x-95=3

Solution for x^2-7x-95=3 equation:

Simplifying
x2 + -7x + -95 = 3

Reorder the terms:
-95 + -7x + x2 = 3

Solving
-95 + -7x + x2 = 3

Solving for variable 'x'.

Reorder the terms:
-95 + -3 + -7x + x2 = 3 + -3

Combine like terms: -95 + -3 = -98
-98 + -7x + x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-98 + -7x + x2 = 0

Factor a trinomial.
(-7 + -1x)(14 + -1x) = 0

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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-7, 14}