15(x*x)+13x=86

Solution for 15(x*x)+13x=86 equation:

Simplifying
15(x * x) + 13x = 86

Multiply x * x
15(x2) + 13x = 86

Reorder the terms:
13x + 15x2 = 86

Solving
13x + 15x2 = 86

Solving for variable 'x'.

Reorder the terms:
-86 + 13x + 15x2 = 86 + -86

Combine like terms: 86 + -86 = 0
-86 + 13x + 15x2 = 0

Factor a trinomial.
(-43 + -15x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-43 + -15x)' equal to zero and attempt to solve:

Simplifying
-43 + -15x = 0

Solving
-43 + -15x = 0

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

Add '43' to each side of the equation.
-43 + 43 + -15x = 0 + 43

Combine like terms: -43 + 43 = 0
0 + -15x = 0 + 43
-15x = 0 + 43

Combine like terms: 0 + 43 = 43
-15x = 43

Divide each side by '-15'.
x = -2.866666667

Simplifying
x = -2.866666667
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 = {-2.866666667, 2}