0=5X^2-22X+8

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Solution for 0=5X^2-22X+8 equation: 


Simplifying
0 = 5X2 + -22X + 8

Reorder the terms:
0 = 8 + -22X + 5X2

Solving
0 = 8 + -22X + 5X2

Solving for variable 'X'.

Combine like terms: 0 + -8 = -8
-8 + 22X + -5X2 = 8 + -22X + 5X2 + -8 + 22X + -5X2

Reorder the terms:
-8 + 22X + -5X2 = 8 + -8 + -22X + 22X + 5X2 + -5X2

Combine like terms: 8 + -8 = 0
-8 + 22X + -5X2 = 0 + -22X + 22X + 5X2 + -5X2
-8 + 22X + -5X2 = -22X + 22X + 5X2 + -5X2

Combine like terms: -22X + 22X = 0
-8 + 22X + -5X2 = 0 + 5X2 + -5X2
-8 + 22X + -5X2 = 5X2 + -5X2

Combine like terms: 5X2 + -5X2 = 0
-8 + 22X + -5X2 = 0

Factor a trinomial.
(-4 + X)(2 + -5X) = 0


Subproblem 1
Set the factor '(-4 + X)' equal to zero and attempt to solve:

Simplifying
-4 + X = 0

Solving
-4 + X = 0

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

Add '4' to each side of the equation.
-4 + 4 + X = 0 + 4

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

Combine like terms: 0 + 4 = 4
X = 4

Simplifying
X = 4

Subproblem 2
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
Solution
X = {4, 0.4}

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