7x(7x+6y+2z)=

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Solution for 7x(7x+6y+2z)= equation: 


Simplifying
7x(7x + 6y + 2z) = 0
(7x * 7x + 6y * 7x + 2z * 7x) = 0

Reorder the terms:
(42xy + 14xz + 49x2) = 0
(42xy + 14xz + 49x2) = 0

Solving
42xy + 14xz + 49x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(6y + 2z + 7x) = 0

Ignore the factor 7.

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 '(6y + 2z + 7x)' equal to zero and attempt to solve:

Simplifying
6y + 2z + 7x = 0

Reorder the terms:
7x + 6y + 2z = 0

Solving
7x + 6y + 2z = 0

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

Add '-6y' to each side of the equation.
7x + 6y + -6y + 2z = 0 + -6y

Combine like terms: 6y + -6y = 0
7x + 0 + 2z = 0 + -6y
7x + 2z = 0 + -6y
Remove the zero:
7x + 2z = -6y

Add '-2z' to each side of the equation.
7x + 2z + -2z = -6y + -2z

Combine like terms: 2z + -2z = 0
7x + 0 = -6y + -2z
7x = -6y + -2z

Divide each side by '7'.
x = -0.8571428571y + -0.2857142857z

Simplifying
x = -0.8571428571y + -0.2857142857z
Solution
x = {0, -0.8571428571y + -0.2857142857z}

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