G(x)=7x+sin(7x)

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Solution for G(x)=7x+sin(7x) equation: 


Simplifying
G(x) = 7x + sin(7x)

Multiply G * x
xG = 7x + sin(7x)

Remove parenthesis around (7x)
xG = 7x + ins * 7x

Reorder the terms for easier multiplication:
xG = 7x + 7ins * x

Multiply ins * x
xG = 7x + 7insx

Reorder the terms:
xG = 7insx + 7x

Solving
xG = 7insx + 7x

Solving for variable 'x'.

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

Add '-7insx' to each side of the equation.
-7insx + xG = 7insx + -7insx + 7x

Combine like terms: 7insx + -7insx = 0
-7insx + xG = 0 + 7x
-7insx + xG = 7x

Add '-7x' to each side of the equation.
-7insx + -7x + xG = 7x + -7x

Combine like terms: 7x + -7x = 0
-7insx + -7x + xG = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7ins + -7 + G) = 0


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 '(-7ins + -7 + G)' equal to zero and attempt to solve:

Simplifying
-7ins + -7 + G = 0

Reorder the terms:
-7 + G + -7ins = 0

Solving
-7 + G + -7ins = 0

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

Add '7' to each side of the equation.
-7 + G + 7 + -7ins = 0 + 7

Reorder the terms:
-7 + 7 + G + -7ins = 0 + 7

Combine like terms: -7 + 7 = 0
0 + G + -7ins = 0 + 7
G + -7ins = 0 + 7

Combine like terms: 0 + 7 = 7
G + -7ins = 7

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

Combine like terms: G + -1G = 0
0 + -7ins = 7 + -1G
-7ins = 7 + -1G

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

Combine like terms: -7ins + 7ins = 0
0 = 7 + -1G + 7ins

Simplifying
0 = 7 + -1G + 7ins

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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