8x(x+2y+5z)=

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Solution for 8x(x+2y+5z)= equation:


Simplifying
8x(x + 2y + 5z) = 0
(x * 8x + 2y * 8x + 5z * 8x) = 0

Reorder the terms:
(16xy + 40xz + 8x2) = 0
(16xy + 40xz + 8x2) = 0

Solving
16xy + 40xz + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x'.
8x(2y + 5z + x) = 0

Ignore the factor 8.

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 '(2y + 5z + x)' equal to zero and attempt to solve: Simplifying 2y + 5z + x = 0 Reorder the terms: x + 2y + 5z = 0 Solving x + 2y + 5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y + 5z = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 + 5z = 0 + -2y x + 5z = 0 + -2y Remove the zero: x + 5z = -2y Add '-5z' to each side of the equation. x + 5z + -5z = -2y + -5z Combine like terms: 5z + -5z = 0 x + 0 = -2y + -5z x = -2y + -5z Simplifying x = -2y + -5z

Solution

x = {0, -2y + -5z}

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