54x^2-256x=11x-325

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Solution for 54x^2-256x=11x-325 equation: 


Simplifying
54x2 + -256x = 11x + -325

Reorder the terms:
-256x + 54x2 = 11x + -325

Reorder the terms:
-256x + 54x2 = -325 + 11x

Solving
-256x + 54x2 = -325 + 11x

Solving for variable 'x'.

Reorder the terms:
325 + -256x + -11x + 54x2 = -325 + 11x + 325 + -11x

Combine like terms: -256x + -11x = -267x
325 + -267x + 54x2 = -325 + 11x + 325 + -11x

Reorder the terms:
325 + -267x + 54x2 = -325 + 325 + 11x + -11x

Combine like terms: -325 + 325 = 0
325 + -267x + 54x2 = 0 + 11x + -11x
325 + -267x + 54x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
325 + -267x + 54x2 = 0

Factor a trinomial.
(13 + -6x)(25 + -9x) = 0


Subproblem 1
Set the factor '(13 + -6x)' equal to zero and attempt to solve:

Simplifying
13 + -6x = 0

Solving
13 + -6x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -6x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -6x = 0 + -13
-6x = 0 + -13

Combine like terms: 0 + -13 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667

Subproblem 2
Set the factor '(25 + -9x)' equal to zero and attempt to solve:

Simplifying
25 + -9x = 0

Solving
25 + -9x = 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 + -9x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -9x = 0 + -25
-9x = 0 + -25

Combine like terms: 0 + -25 = -25
-9x = -25

Divide each side by '-9'.
x = 2.777777778

Simplifying
x = 2.777777778
Solution
x = {2.166666667, 2.777777778}

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