2X^2+5X+8=8

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Solution for 2X^2+5X+8=8 equation: 


Simplifying
2X2 + 5X + 8 = 8

Reorder the terms:
8 + 5X + 2X2 = 8

Add '-8' to each side of the equation.
8 + 5X + -8 + 2X2 = 8 + -8

Reorder the terms:
8 + -8 + 5X + 2X2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + 5X + 2X2 = 8 + -8
5X + 2X2 = 8 + -8

Combine like terms: 8 + -8 = 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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