-4X^2-8X-3=-3-5X^2

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Solution for -4X^2-8X-3=-3-5X^2 equation: 


Simplifying
-4X2 + -8X + -3 = -3 + -5X2

Reorder the terms:
-3 + -8X + -4X2 = -3 + -5X2

Add '3' to each side of the equation.
-3 + -8X + 3 + -4X2 = -3 + 3 + -5X2

Reorder the terms:
-3 + 3 + -8X + -4X2 = -3 + 3 + -5X2

Combine like terms: -3 + 3 = 0
0 + -8X + -4X2 = -3 + 3 + -5X2
-8X + -4X2 = -3 + 3 + -5X2

Combine like terms: -3 + 3 = 0
-8X + -4X2 = 0 + -5X2
-8X + -4X2 = -5X2

Solving
-8X + -4X2 = -5X2

Solving for variable 'X'.

Combine like terms: -4X2 + 5X2 = 1X2
-8X + 1X2 = -5X2 + 5X2

Combine like terms: -5X2 + 5X2 = 0
-8X + 1X2 = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(-8 + X) = 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 '(-8 + X)' equal to zero and attempt to solve:

Simplifying
-8 + X = 0

Solving
-8 + X = 0

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

Add '8' to each side of the equation.
-8 + 8 + X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + X = 0 + 8
X = 0 + 8

Combine like terms: 0 + 8 = 8
X = 8

Simplifying
X = 8
Solution
X = {0, 8}

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