7x(x-3)+6x=

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Solution for 7x(x-3)+6x= equation: 


Simplifying
7x(x + -3) + 6x = 0

Reorder the terms:
7x(-3 + x) + 6x = 0
(-3 * 7x + x * 7x) + 6x = 0
(-21x + 7x2) + 6x = 0

Reorder the terms:
-21x + 6x + 7x2 = 0

Combine like terms: -21x + 6x = -15x
-15x + 7x2 = 0

Solving
-15x + 7x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 7x) = 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 '(-15 + 7x)' equal to zero and attempt to solve:

Simplifying
-15 + 7x = 0

Solving
-15 + 7x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 7x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 0 + 15
7x = 0 + 15

Combine like terms: 0 + 15 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143
Solution
x = {0, 2.142857143}

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