9x^2-49x+600.25=600.25

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Solution for 9x^2-49x+600.25=600.25 equation: 


Simplifying
9x2 + -49x + 600.25 = 600.25

Reorder the terms:
600.25 + -49x + 9x2 = 600.25

Add '-600.25' to each side of the equation.
600.25 + -49x + -600.25 + 9x2 = 600.25 + -600.25

Reorder the terms:
600.25 + -600.25 + -49x + 9x2 = 600.25 + -600.25

Combine like terms: 600.25 + -600.25 = 0.00
0.00 + -49x + 9x2 = 600.25 + -600.25
-49x + 9x2 = 600.25 + -600.25

Combine like terms: 600.25 + -600.25 = 0.00
-49x + 9x2 = 0.00

Solving
-49x + 9x2 = 0.00

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-49 + 9x) = 0.00


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

Simplifying
-49 + 9x = 0

Solving
-49 + 9x = 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 + 9x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 9x = 0 + 49
9x = 0 + 49

Combine like terms: 0 + 49 = 49
9x = 49

Divide each side by '9'.
x = 5.444444444

Simplifying
x = 5.444444444
Solution
x = {0, 5.444444444}

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