0=4X+8*X*X

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Solution for 0=4X+8*X*X equation:


Simplifying
0 = 4X + 8X * X

Multiply X * X
0 = 4X + 8X2

Solving
0 = 4X + 8X2

Solving for variable 'X'.
Remove the zero:
-4X + -8X2 = 4X + 8X2 + -4X + -8X2

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

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

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

Factor out the Greatest Common Factor (GCF), '-4X'.
-4X(1 + 2X) = 0

Ignore the factor -4.

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 '(1 + 2X)' equal to zero and attempt to solve: Simplifying 1 + 2X = 0 Solving 1 + 2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2X = 0 + -1 2X = 0 + -1 Combine like terms: 0 + -1 = -1 2X = -1 Divide each side by '2'. X = -0.5 Simplifying X = -0.5

Solution

X = {0, -0.5}

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