5x=3x^2+28

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Solution for 5x=3x^2+28 equation: 


Simplifying
5x = 3x2 + 28

Reorder the terms:
5x = 28 + 3x2

Solving
5x = 28 + 3x2

Solving for variable 'x'.

Reorder the terms:
-28 + 5x + -3x2 = 28 + 3x2 + -28 + -3x2

Reorder the terms:
-28 + 5x + -3x2 = 28 + -28 + 3x2 + -3x2

Combine like terms: 28 + -28 = 0
-28 + 5x + -3x2 = 0 + 3x2 + -3x2
-28 + 5x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-28 + 5x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
9.333333333 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -1.666666667x + -9.333333333 + x2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -1.666666667x + x2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -1.666666667x + x2 = 0 + -9.333333333
-1.666666667x + x2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-1.666666667x + x2 = -9.333333333

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -9.333333333 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -9.333333333 + 0.6944444447

Combine like terms: -9.333333333 + 0.6944444447 = -8.6388888883
0.6944444447 + -1.666666667x + x2 = -8.6388888883

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = -8.6388888883

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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