2x(25x-49)=0

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Solution for 2x(25x-49)=0 equation: 


Simplifying
2x(25x + -49) = 0

Reorder the terms:
2x(-49 + 25x) = 0
(-49 * 2x + 25x * 2x) = 0
(-98x + 50x2) = 0

Solving
-98x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-49 + 25x) = 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 '(-49 + 25x)' equal to zero and attempt to solve:

Simplifying
-49 + 25x = 0

Solving
-49 + 25x = 0

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

Add '49' to each side of the equation.
-49 + 49 + 25x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 25x = 0 + 49
25x = 0 + 49

Combine like terms: 0 + 49 = 49
25x = 49

Divide each side by '25'.
x = 1.96

Simplifying
x = 1.96
Solution
x = {0, 1.96}

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