-2a(3x-4y-5z)=

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Solution for -2a(3x-4y-5z)= equation:


Simplifying
-2a(3x + -4y + -5z) = 0
(3x * -2a + -4y * -2a + -5z * -2a) = 0
(-6ax + 8ay + 10az) = 0

Solving
-6ax + 8ay + 10az = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-3x + 4y + 5z) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(-3x + 4y + 5z)' equal to zero and attempt to solve: Simplifying -3x + 4y + 5z = 0 Solving -3x + 4y + 5z = 0 Move all terms containing a to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 4y + 3x + 5z = 0 + 3x Reorder the terms: -3x + 3x + 4y + 5z = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 4y + 5z = 0 + 3x 4y + 5z = 0 + 3x Remove the zero: 4y + 5z = 3x Add '-4y' to each side of the equation. 4y + -4y + 5z = 3x + -4y Combine like terms: 4y + -4y = 0 0 + 5z = 3x + -4y 5z = 3x + -4y Add '-5z' to each side of the equation. 5z + -5z = 3x + -4y + -5z Combine like terms: 5z + -5z = 0 0 = 3x + -4y + -5z Simplifying 0 = 3x + -4y + -5z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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