-4y(2y+7z)=

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Solution for -4y(2y+7z)= equation: 


Simplifying
-4y(2y + 7z) = 0
(2y * -4y + 7z * -4y) = 0

Reorder the terms:
(-28yz + -8y2) = 0
(-28yz + -8y2) = 0

Solving
-28yz + -8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-4y'.
-4y(7z + 2y) = 0

Ignore the factor -4.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(7z + 2y)' equal to zero and attempt to solve:

Simplifying
7z + 2y = 0

Reorder the terms:
2y + 7z = 0

Solving
2y + 7z = 0

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

Add '-7z' to each side of the equation.
2y + 7z + -7z = 0 + -7z

Combine like terms: 7z + -7z = 0
2y + 0 = 0 + -7z
2y = 0 + -7z
Remove the zero:
2y = -7z

Divide each side by '2'.
y = -3.5z

Simplifying
y = -3.5z
Solution
y = {0, -3.5z}

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