4x^2-17x+16=-6+9

Solution for 4x^2-17x+16=-6+9 equation:

Simplifying
4x2 + -17x + 16 = -6 + 9

Reorder the terms:
16 + -17x + 4x2 = -6 + 9

Combine like terms: -6 + 9 = 3
16 + -17x + 4x2 = 3

Solving
16 + -17x + 4x2 = 3

Solving for variable 'x'.

Reorder the terms:
16 + -3 + -17x + 4x2 = 3 + -3

Combine like terms: 16 + -3 = 13
13 + -17x + 4x2 = 3 + -3

Combine like terms: 3 + -3 = 0
13 + -17x + 4x2 = 0

Factor a trinomial.
(1 + -1x)(13 + -4x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(13 + -4x)' equal to zero and attempt to solve:

Simplifying
13 + -4x = 0

Solving
13 + -4x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 0 + -13
-4x = 0 + -13

Combine like terms: 0 + -13 = -13
-4x = -13

Divide each side by '-4'.
x = 3.25

Simplifying
x = 3.25
Solution
x = {1, 3.25}