7x+102x+12x=12983x+12323x(2-3x)

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Solution for 7x+102x+12x=12983x+12323x(2-3x) equation: 


Simplifying
7x + 102x + 12x = 12983x + 12323x(2 + -3x)

Combine like terms: 7x + 102x = 109x
109x + 12x = 12983x + 12323x(2 + -3x)

Combine like terms: 109x + 12x = 121x
121x = 12983x + 12323x(2 + -3x)
121x = 12983x + (2 * 12323x + -3x * 12323x)
121x = 12983x + (24646x + -36969x2)

Combine like terms: 12983x + 24646x = 37629x
121x = 37629x + -36969x2

Solving
121x = 37629x + -36969x2

Solving for variable 'x'.

Combine like terms: 121x + -37629x = -37508x
-37508x + 36969x2 = 37629x + -36969x2 + -37629x + 36969x2

Reorder the terms:
-37508x + 36969x2 = 37629x + -37629x + -36969x2 + 36969x2

Combine like terms: 37629x + -37629x = 0
-37508x + 36969x2 = 0 + -36969x2 + 36969x2
-37508x + 36969x2 = -36969x2 + 36969x2

Combine like terms: -36969x2 + 36969x2 = 0
-37508x + 36969x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-37508 + 36969x) = 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 '(-37508 + 36969x)' equal to zero and attempt to solve:

Simplifying
-37508 + 36969x = 0

Solving
-37508 + 36969x = 0

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

Add '37508' to each side of the equation.
-37508 + 37508 + 36969x = 0 + 37508

Combine like terms: -37508 + 37508 = 0
0 + 36969x = 0 + 37508
36969x = 0 + 37508

Combine like terms: 0 + 37508 = 37508
36969x = 37508

Divide each side by '36969'.
x = 1.014579783

Simplifying
x = 1.014579783
Solution
x = {0, 1.014579783}

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