4x^2-145x+841=0

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Solution for 4x^2-145x+841=0 equation: 


Simplifying
4x2 + -145x + 841 = 0

Reorder the terms:
841 + -145x + 4x2 = 0

Solving
841 + -145x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(29 + -4x)(29 + -1x) = 0


Subproblem 1
Set the factor '(29 + -4x)' equal to zero and attempt to solve:

Simplifying
29 + -4x = 0

Solving
29 + -4x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -4x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -4x = 0 + -29
-4x = 0 + -29

Combine like terms: 0 + -29 = -29
-4x = -29

Divide each side by '-4'.
x = 7.25

Simplifying
x = 7.25

Subproblem 2
Set the factor '(29 + -1x)' equal to zero and attempt to solve:

Simplifying
29 + -1x = 0

Solving
29 + -1x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -1x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -1x = 0 + -29
-1x = 0 + -29

Combine like terms: 0 + -29 = -29
-1x = -29

Divide each side by '-1'.
x = 29

Simplifying
x = 29
Solution
x = {7.25, 29}

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