3x^2+7x=5x-7

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Solution for 3x^2+7x=5x-7 equation: 


Simplifying
3x2 + 7x = 5x + -7

Reorder the terms:
7x + 3x2 = 5x + -7

Reorder the terms:
7x + 3x2 = -7 + 5x

Solving
7x + 3x2 = -7 + 5x

Solving for variable 'x'.

Reorder the terms:
7 + 7x + -5x + 3x2 = -7 + 5x + 7 + -5x

Combine like terms: 7x + -5x = 2x
7 + 2x + 3x2 = -7 + 5x + 7 + -5x

Reorder the terms:
7 + 2x + 3x2 = -7 + 7 + 5x + -5x

Combine like terms: -7 + 7 = 0
7 + 2x + 3x2 = 0 + 5x + -5x
7 + 2x + 3x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 2x + 3x2 = 0

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

Divide each side by '3'.
2.333333333 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 0.6666666667x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 0.6666666667x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -2.333333333
0.6666666667x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
0.6666666667x + x2 = -2.333333333

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 = -2.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -2.333333333 + 0.1111111112

Combine like terms: -2.333333333 + 0.1111111112 = -2.2222222218
0.1111111112 + 0.6666666667x + x2 = -2.2222222218

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -2.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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