6x(x+4y+5z)=

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Solution for 6x(x+4y+5z)= equation:


Simplifying
6x(x + 4y + 5z) = 0
(x * 6x + 4y * 6x + 5z * 6x) = 0

Reorder the terms:
(24xy + 30xz + 6x2) = 0
(24xy + 30xz + 6x2) = 0

Solving
24xy + 30xz + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(4y + 5z + x) = 0

Ignore the factor 6.

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 '(4y + 5z + x)' equal to zero and attempt to solve: Simplifying 4y + 5z + x = 0 Reorder the terms: x + 4y + 5z = 0 Solving x + 4y + 5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y + 5z = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 + 5z = 0 + -4y x + 5z = 0 + -4y Remove the zero: x + 5z = -4y Add '-5z' to each side of the equation. x + 5z + -5z = -4y + -5z Combine like terms: 5z + -5z = 0 x + 0 = -4y + -5z x = -4y + -5z Simplifying x = -4y + -5z

Solution

x = {0, -4y + -5z}

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