x^2-16x+15=-9x+3

Solution for x^2-16x+15=-9x+3 equation:

Simplifying
x2 + -16x + 15 = -9x + 3

Reorder the terms:
15 + -16x + x2 = -9x + 3

Reorder the terms:
15 + -16x + x2 = 3 + -9x

Solving
15 + -16x + x2 = 3 + -9x

Solving for variable 'x'.

Reorder the terms:
15 + -3 + -16x + 9x + x2 = 3 + -9x + -3 + 9x

Combine like terms: 15 + -3 = 12
12 + -16x + 9x + x2 = 3 + -9x + -3 + 9x

Combine like terms: -16x + 9x = -7x
12 + -7x + x2 = 3 + -9x + -3 + 9x

Reorder the terms:
12 + -7x + x2 = 3 + -3 + -9x + 9x

Combine like terms: 3 + -3 = 0
12 + -7x + x2 = 0 + -9x + 9x
12 + -7x + x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
12 + -7x + x2 = 0

Factor a trinomial.
(3 + -1x)(4 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {3, 4}