7x-6x(3x+2x)=0

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Solution for 7x-6x(3x+2x)=0 equation: 


Simplifying
7x + -6x(3x + 2x) = 0

Combine like terms: 3x + 2x = 5x
7x + -6x(5x) = 0

Remove parenthesis around (5x)
7x + -6x * 5x = 0

Reorder the terms for easier multiplication:
7x + -6 * 5x * x = 0

Multiply -6 * 5
7x + -30x * x = 0

Multiply x * x
7x + -30x2 = 0

Solving
7x + -30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -30x) = 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 '(7 + -30x)' equal to zero and attempt to solve:

Simplifying
7 + -30x = 0

Solving
7 + -30x = 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 + -30x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -30x = 0 + -7
-30x = 0 + -7

Combine like terms: 0 + -7 = -7
-30x = -7

Divide each side by '-30'.
x = 0.2333333333

Simplifying
x = 0.2333333333
Solution
x = {0, 0.2333333333}

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