2x(x+6y+4z)=

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Solution for 2x(x+6y+4z)= equation:


Simplifying
2x(x + 6y + 4z) = 0
(x * 2x + 6y * 2x + 4z * 2x) = 0

Reorder the terms:
(12xy + 8xz + 2x2) = 0
(12xy + 8xz + 2x2) = 0

Solving
12xy + 8xz + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(6y + 4z + 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 '(6y + 4z + x)' equal to zero and attempt to solve: Simplifying 6y + 4z + x = 0 Reorder the terms: x + 6y + 4z = 0 Solving x + 6y + 4z = 0 Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. x + 6y + -6y + 4z = 0 + -6y Combine like terms: 6y + -6y = 0 x + 0 + 4z = 0 + -6y x + 4z = 0 + -6y Remove the zero: x + 4z = -6y Add '-4z' to each side of the equation. x + 4z + -4z = -6y + -4z Combine like terms: 4z + -4z = 0 x + 0 = -6y + -4z x = -6y + -4z Simplifying x = -6y + -4z

Solution

x = {0, -6y + -4z}

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