2*X*X+6X=0

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Solution for 2*X*X+6X=0 equation:


Simplifying
2X * X + 6X = 0

Multiply X * X
2X2 + 6X = 0

Reorder the terms:
6X + 2X2 = 0

Solving
6X + 2X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(3 + X) = 0

Ignore the factor 2.

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 '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3

Solution

X = {0, -3}

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