(2x-1)(x-2)=2

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Solution for (2x-1)(x-2)=2 equation: 


Simplifying
(2x + -1)(x + -2) = 2

Reorder the terms:
(-1 + 2x)(x + -2) = 2

Reorder the terms:
(-1 + 2x)(-2 + x) = 2

Multiply (-1 + 2x) * (-2 + x)
(-1(-2 + x) + 2x * (-2 + x)) = 2
((-2 * -1 + x * -1) + 2x * (-2 + x)) = 2
((2 + -1x) + 2x * (-2 + x)) = 2
(2 + -1x + (-2 * 2x + x * 2x)) = 2
(2 + -1x + (-4x + 2x2)) = 2

Combine like terms: -1x + -4x = -5x
(2 + -5x + 2x2) = 2

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

Reorder the terms:
2 + -2 + -5x + 2x2 = 2 + -2

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

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

Solving
-5x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

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

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, 2.5}

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