-7(zx-7)+5=-49x+54

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Solution for -7(zx-7)+5=-49x+54 equation: 


Simplifying
-7(zx + -7) + 5 = -49x + 54

Reorder the terms:
-7(-7 + xz) + 5 = -49x + 54
(-7 * -7 + xz * -7) + 5 = -49x + 54
(49 + -7xz) + 5 = -49x + 54

Reorder the terms:
49 + 5 + -7xz = -49x + 54

Combine like terms: 49 + 5 = 54
54 + -7xz = -49x + 54

Reorder the terms:
54 + -7xz = 54 + -49x

Add '-54' to each side of the equation.
54 + -54 + -7xz = 54 + -54 + -49x

Combine like terms: 54 + -54 = 0
0 + -7xz = 54 + -54 + -49x
-7xz = 54 + -54 + -49x

Combine like terms: 54 + -54 = 0
-7xz = 0 + -49x
-7xz = -49x

Solving
-7xz = -49x

Solving for variable 'x'.

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

Add '49x' to each side of the equation.
49x + -7xz = -49x + 49x

Combine like terms: -49x + 49x = 0
49x + -7xz = 0

Factor out the Greatest Common Factor (GCF), '7x'.
7x(7 + -1z) = 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 '(7 + -1z)' equal to zero and attempt to solve:

Simplifying
7 + -1z = 0

Solving
7 + -1z = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1z = 0 + -7
-1z = 0 + -7

Combine like terms: 0 + -7 = -7
-1z = -7

Add 'z' to each side of the equation.
-1z + z = -7 + z

Combine like terms: -1z + z = 0
0 = -7 + z

Simplifying
0 = -7 + z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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