5x^2-12x+3=-1

Solution for 5x^2-12x+3=-1 equation:

Simplifying
5x2 + -12x + 3 = -1

Reorder the terms:
3 + -12x + 5x2 = -1

Solving
3 + -12x + 5x2 = -1

Solving for variable 'x'.

Reorder the terms:
3 + 1 + -12x + 5x2 = -1 + 1

Combine like terms: 3 + 1 = 4
4 + -12x + 5x2 = -1 + 1

Combine like terms: -1 + 1 = 0
4 + -12x + 5x2 = 0

Factor a trinomial.
(2 + -5x)(2 + -1x) = 0

Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
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 = {0.4, 2}