3x^2+6x=2x^2+3x-4

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Solution for 3x^2+6x=2x^2+3x-4 equation: 


Simplifying
3x2 + 6x = 2x2 + 3x + -4

Reorder the terms:
6x + 3x2 = 2x2 + 3x + -4

Reorder the terms:
6x + 3x2 = -4 + 3x + 2x2

Solving
6x + 3x2 = -4 + 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
4 + 6x + -3x + 3x2 + -2x2 = -4 + 3x + 2x2 + 4 + -3x + -2x2

Combine like terms: 6x + -3x = 3x
4 + 3x + 3x2 + -2x2 = -4 + 3x + 2x2 + 4 + -3x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
4 + 3x + 1x2 = -4 + 3x + 2x2 + 4 + -3x + -2x2

Reorder the terms:
4 + 3x + 1x2 = -4 + 4 + 3x + -3x + 2x2 + -2x2

Combine like terms: -4 + 4 = 0
4 + 3x + 1x2 = 0 + 3x + -3x + 2x2 + -2x2
4 + 3x + 1x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
4 + 3x + 1x2 = 0 + 2x2 + -2x2
4 + 3x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + 3x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 3x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 3x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x + x2 = 0 + -4
3x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3x + x2 = -4

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -4 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + 3x + x2 = -1.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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