49x^2-14x+x^2=0

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Solution for 49x^2-14x+x^2=0 equation: 


Simplifying
49x2 + -14x + x2 = 0

Reorder the terms:
-14x + 49x2 + x2 = 0

Combine like terms: 49x2 + x2 = 50x2
-14x + 50x2 = 0

Solving
-14x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-7 + 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 '(-7 + 25x)' equal to zero and attempt to solve:

Simplifying
-7 + 25x = 0

Solving
-7 + 25x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 25x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 25x = 0 + 7
25x = 0 + 7

Combine like terms: 0 + 7 = 7
25x = 7

Divide each side by '25'.
x = 0.28

Simplifying
x = 0.28
Solution
x = {0, 0.28}

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