2x(x+10)=70x

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Solution for 2x(x+10)=70x equation: 


Simplifying
2x(x + 10) = 70x

Reorder the terms:
2x(10 + x) = 70x
(10 * 2x + x * 2x) = 70x
(20x + 2x2) = 70x

Solving
20x + 2x2 = 70x

Solving for variable 'x'.

Reorder the terms:
20x + -70x + 2x2 = 70x + -70x

Combine like terms: 20x + -70x = -50x
-50x + 2x2 = 70x + -70x

Combine like terms: 70x + -70x = 0
-50x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-25 + 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 '(-25 + x)' equal to zero and attempt to solve:

Simplifying
-25 + x = 0

Solving
-25 + x = 0

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

Add '25' to each side of the equation.
-25 + 25 + x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + x = 0 + 25
x = 0 + 25

Combine like terms: 0 + 25 = 25
x = 25

Simplifying
x = 25
Solution
x = {0, 25}

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