-5x+2=(x-3)(x-2)

Solution for -5x+2=(x-3)(x-2) equation:

Simplifying
-5x + 2 = (x + -3)(x + -2)

Reorder the terms:
2 + -5x = (x + -3)(x + -2)

Reorder the terms:
2 + -5x = (-3 + x)(x + -2)

Reorder the terms:
2 + -5x = (-3 + x)(-2 + x)

Multiply (-3 + x) * (-2 + x)
2 + -5x = (-3(-2 + x) + x(-2 + x))
2 + -5x = ((-2 * -3 + x * -3) + x(-2 + x))
2 + -5x = ((6 + -3x) + x(-2 + x))
2 + -5x = (6 + -3x + (-2 * x + x * x))
2 + -5x = (6 + -3x + (-2x + x2))

Combine like terms: -3x + -2x = -5x
2 + -5x = (6 + -5x + x2)

Add '5x' to each side of the equation.
2 + -5x + 5x = 6 + -5x + 5x + x2

Combine like terms: -5x + 5x = 0
2 + 0 = 6 + -5x + 5x + x2
2 = 6 + -5x + 5x + x2

Combine like terms: -5x + 5x = 0
2 = 6 + 0 + x2
2 = 6 + x2

Solving
2 = 6 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
2 + -1x2 = 6 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2 + -1x2 = 6 + 0
2 + -1x2 = 6

Add '-2' to each side of the equation.
2 + -2 + -1x2 = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1x2 = 6 + -2
-1x2 = 6 + -2

Combine like terms: 6 + -2 = 4
-1x2 = 4

Divide each side by '-1'.
x2 = -4

Simplifying
x2 = -4

Reorder the terms:
4 + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + x2 = 0

The solution to this equation could not be determined.