3x(x-3)-4x=13x

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Solution for 3x(x-3)-4x=13x equation: 


Simplifying
3x(x + -3) + -4x = 13x

Reorder the terms:
3x(-3 + x) + -4x = 13x
(-3 * 3x + x * 3x) + -4x = 13x
(-9x + 3x2) + -4x = 13x

Reorder the terms:
-9x + -4x + 3x2 = 13x

Combine like terms: -9x + -4x = -13x
-13x + 3x2 = 13x

Solving
-13x + 3x2 = 13x

Solving for variable 'x'.

Reorder the terms:
-13x + -13x + 3x2 = 13x + -13x

Combine like terms: -13x + -13x = -26x
-26x + 3x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
-26x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-26 + 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 '(-26 + 3x)' equal to zero and attempt to solve:

Simplifying
-26 + 3x = 0

Solving
-26 + 3x = 0

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

Add '26' to each side of the equation.
-26 + 26 + 3x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 3x = 0 + 26
3x = 0 + 26

Combine like terms: 0 + 26 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667
Solution
x = {0, 8.666666667}

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