4*X^2+16*X=0

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Solution for 4*X^2+16*X=0 equation:


Simplifying
4X2 + 16X = 0

Reorder the terms:
16X + 4X2 = 0

Solving
16X + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4X'.
4X(4 + X) = 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 '(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

Solution

X = {0, -4}

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