2x(x-4)=10x

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Solution for 2x(x-4)=10x equation: 


Simplifying
2x(x + -4) = 10x

Reorder the terms:
2x(-4 + x) = 10x
(-4 * 2x + x * 2x) = 10x
(-8x + 2x2) = 10x

Solving
-8x + 2x2 = 10x

Solving for variable 'x'.

Reorder the terms:
-8x + -10x + 2x2 = 10x + -10x

Combine like terms: -8x + -10x = -18x
-18x + 2x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-18x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-9 + x) = 0

Ignore the factor 2.

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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

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

Combine like terms: 0 + 9 = 9
x = 9

Simplifying
x = 9
Solution
x = {0, 9}

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