2X^2-7X+5=-1

Solution for 2X^2-7X+5=-1 equation:

Simplifying
2X2 + -7X + 5 = -1

Reorder the terms:
5 + -7X + 2X2 = -1

Solving
5 + -7X + 2X2 = -1

Solving for variable 'X'.

Reorder the terms:
5 + 1 + -7X + 2X2 = -1 + 1

Combine like terms: 5 + 1 = 6
6 + -7X + 2X2 = -1 + 1

Combine like terms: -1 + 1 = 0
6 + -7X + 2X2 = 0

Factor a trinomial.
(3 + -2X)(2 + -1X) = 0

Subproblem 1
Set the factor '(3 + -2X)' equal to zero and attempt to solve:

Simplifying
3 + -2X = 0

Solving
3 + -2X = 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 + -2X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2X = 0 + -3
-2X = 0 + -3

Combine like terms: 0 + -3 = -3
-2X = -3

Divide each side by '-2'.
X = 1.5

Simplifying
X = 1.5
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 = {1.5, 2}