-5x(x-3)=x

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


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

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

Solving
15x + -5x2 = x

Solving for variable 'x'.

Reorder the terms:
15x + -1x + -5x2 = x + -1x

Combine like terms: 15x + -1x = 14x
14x + -5x2 = x + -1x

Combine like terms: x + -1x = 0
14x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(14 + -5x) = 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 '(14 + -5x)' equal to zero and attempt to solve:

Simplifying
14 + -5x = 0

Solving
14 + -5x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -5x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 0 + -14
-5x = 0 + -14

Combine like terms: 0 + -14 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8
Solution
x = {0, 2.8}

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