-3x(3x-5)=6x

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Solution for -3x(3x-5)=6x equation: 


Simplifying
-3x(3x + -5) = 6x

Reorder the terms:
-3x(-5 + 3x) = 6x
(-5 * -3x + 3x * -3x) = 6x
(15x + -9x2) = 6x

Solving
15x + -9x2 = 6x

Solving for variable 'x'.

Reorder the terms:
15x + -6x + -9x2 = 6x + -6x

Combine like terms: 15x + -6x = 9x
9x + -9x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
9x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9x'.
9x(1 + -1x) = 0

Ignore the factor 9.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, 1}

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