(7z-6w)x(4z+7y)=

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Solution for (7z-6w)x(4z+7y)= equation: 


Simplifying
(7z + -6w) * x(4z + 7y) = 0

Reorder the terms:
(-6w + 7z) * x(4z + 7y) = 0

Reorder the terms:
(-6w + 7z) * x(7y + 4z) = 0

Reorder the terms for easier multiplication:
x(-6w + 7z)(7y + 4z) = 0

Multiply (-6w + 7z) * (7y + 4z)
x(-6w * (7y + 4z) + 7z * (7y + 4z)) = 0
x((7y * -6w + 4z * -6w) + 7z * (7y + 4z)) = 0
x((-42wy + -24wz) + 7z * (7y + 4z)) = 0
x(-42wy + -24wz + (7y * 7z + 4z * 7z)) = 0
x(-42wy + -24wz + (49yz + 28z2)) = 0
x(-42wy + -24wz + 49yz + 28z2) = 0
(-42wy * x + -24wz * x + 49yz * x + 28z2 * x) = 0
(-42wxy + -24wxz + 49xyz + 28xz2) = 0

Solving
-42wxy + -24wxz + 49xyz + 28xz2 = 0

Solving for variable 'w'.

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

Add '-49xyz' to each side of the equation.
-42wxy + -24wxz + 49xyz + -49xyz + 28xz2 = 0 + -49xyz

Combine like terms: 49xyz + -49xyz = 0
-42wxy + -24wxz + 0 + 28xz2 = 0 + -49xyz
-42wxy + -24wxz + 28xz2 = 0 + -49xyz
Remove the zero:
-42wxy + -24wxz + 28xz2 = -49xyz

Add '-28xz2' to each side of the equation.
-42wxy + -24wxz + 28xz2 + -28xz2 = -49xyz + -28xz2

Combine like terms: 28xz2 + -28xz2 = 0
-42wxy + -24wxz + 0 = -49xyz + -28xz2
-42wxy + -24wxz = -49xyz + -28xz2

Reorder the terms:
-42wxy + -24wxz + 49xyz + 28xz2 = -49xyz + 49xyz + -28xz2 + 28xz2

Combine like terms: -49xyz + 49xyz = 0
-42wxy + -24wxz + 49xyz + 28xz2 = 0 + -28xz2 + 28xz2
-42wxy + -24wxz + 49xyz + 28xz2 = -28xz2 + 28xz2

Combine like terms: -28xz2 + 28xz2 = 0
-42wxy + -24wxz + 49xyz + 28xz2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-42wy + -24wz + 49yz + 28z2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-42wy + -24wz + 49yz + 28z2)' equal to zero and attempt to solve:

Simplifying
-42wy + -24wz + 49yz + 28z2 = 0

Solving
-42wy + -24wz + 49yz + 28z2 = 0

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

Add '-49yz' to each side of the equation.
-42wy + -24wz + 49yz + -49yz + 28z2 = 0 + -49yz

Combine like terms: 49yz + -49yz = 0
-42wy + -24wz + 0 + 28z2 = 0 + -49yz
-42wy + -24wz + 28z2 = 0 + -49yz
Remove the zero:
-42wy + -24wz + 28z2 = -49yz

Add '-28z2' to each side of the equation.
-42wy + -24wz + 28z2 + -28z2 = -49yz + -28z2

Combine like terms: 28z2 + -28z2 = 0
-42wy + -24wz + 0 = -49yz + -28z2
-42wy + -24wz = -49yz + -28z2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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