10x^2+x-7=86

Solution for 10x^2+x-7=86 equation:

Simplifying
10x2 + x + -7 = 86

Reorder the terms:
-7 + x + 10x2 = 86

Solving
-7 + x + 10x2 = 86

Solving for variable 'x'.

Reorder the terms:
-7 + -86 + x + 10x2 = 86 + -86

Combine like terms: -7 + -86 = -93
-93 + x + 10x2 = 86 + -86

Combine like terms: 86 + -86 = 0
-93 + x + 10x2 = 0

Factor a trinomial.
(-31 + -10x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-31 + -10x)' equal to zero and attempt to solve:

Simplifying
-31 + -10x = 0

Solving
-31 + -10x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -10x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -10x = 0 + 31
-10x = 0 + 31

Combine like terms: 0 + 31 = 31
-10x = 31

Divide each side by '-10'.
x = -3.1

Simplifying
x = -3.1
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 = {-3.1, 3}