3x^2+3x=7x

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Solution for 3x^2+3x=7x equation: 


Simplifying
3x2 + 3x = 7x

Reorder the terms:
3x + 3x2 = 7x

Solving
3x + 3x2 = 7x

Solving for variable 'x'.

Reorder the terms:
3x + -7x + 3x2 = 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x + 3x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-4x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 3x) = 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 '(-4 + 3x)' equal to zero and attempt to solve:

Simplifying
-4 + 3x = 0

Solving
-4 + 3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 0 + 4
3x = 0 + 4

Combine like terms: 0 + 4 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {0, 1.333333333}

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