5x^2-18x+12=3

Solution for 5x^2-18x+12=3 equation:

Simplifying
5x2 + -18x + 12 = 3

Reorder the terms:
12 + -18x + 5x2 = 3

Solving
12 + -18x + 5x2 = 3

Solving for variable 'x'.

Reorder the terms:
12 + -3 + -18x + 5x2 = 3 + -3

Combine like terms: 12 + -3 = 9
9 + -18x + 5x2 = 3 + -3

Combine like terms: 3 + -3 = 0
9 + -18x + 5x2 = 0

Factor a trinomial.
(3 + -5x)(3 + -1x) = 0

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
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 = {0.6, 3}