2x-1=3x^2+7

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Solution for 2x-1=3x^2+7 equation: 


Simplifying
2x + -1 = 3x2 + 7

Reorder the terms:
-1 + 2x = 3x2 + 7

Reorder the terms:
-1 + 2x = 7 + 3x2

Solving
-1 + 2x = 7 + 3x2

Solving for variable 'x'.

Reorder the terms:
-1 + -7 + 2x + -3x2 = 7 + 3x2 + -7 + -3x2

Combine like terms: -1 + -7 = -8
-8 + 2x + -3x2 = 7 + 3x2 + -7 + -3x2

Reorder the terms:
-8 + 2x + -3x2 = 7 + -7 + 3x2 + -3x2

Combine like terms: 7 + -7 = 0
-8 + 2x + -3x2 = 0 + 3x2 + -3x2
-8 + 2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-8 + 2x + -3x2 = 0

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

Divide each side by '-3'.
2.666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -0.6666666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -2.666666667
-0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-0.6666666667x + x2 = -2.666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -2.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -2.666666667 + 0.1111111112

Combine like terms: -2.666666667 + 0.1111111112 = -2.5555555558
0.1111111112 + -0.6666666667x + x2 = -2.5555555558

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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