4x(5x+6y-7z)=

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Solution for 4x(5x+6y-7z)= equation: 


Simplifying
4x(5x + 6y + -7z) = 0
(5x * 4x + 6y * 4x + -7z * 4x) = 0

Reorder the terms:
(24xy + -28xz + 20x2) = 0
(24xy + -28xz + 20x2) = 0

Solving
24xy + -28xz + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(6y + -7z + 5x) = 0

Ignore the factor 4.

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 + -7z + 5x)' equal to zero and attempt to solve:

Simplifying
6y + -7z + 5x = 0

Reorder the terms:
5x + 6y + -7z = 0

Solving
5x + 6y + -7z = 0

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

Add '-6y' to each side of the equation.
5x + 6y + -6y + -7z = 0 + -6y

Combine like terms: 6y + -6y = 0
5x + 0 + -7z = 0 + -6y
5x + -7z = 0 + -6y
Remove the zero:
5x + -7z = -6y

Add '7z' to each side of the equation.
5x + -7z + 7z = -6y + 7z

Combine like terms: -7z + 7z = 0
5x + 0 = -6y + 7z
5x = -6y + 7z

Divide each side by '5'.
x = -1.2y + 1.4z

Simplifying
x = -1.2y + 1.4z
Solution
x = {0, -1.2y + 1.4z}

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