2x^2+3x+37=x^2

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Solution for 2x^2+3x+37=x^2 equation:


Simplifying
2x2 + 3x + 37 = x2

Reorder the terms:
37 + 3x + 2x2 = x2

Solving
37 + 3x + 2x2 = x2

Solving for variable 'x'.

Combine like terms: 2x2 + -1x2 = 1x2
37 + 3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
37 + 3x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 3x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + 3x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 3x + x2 = 0 + -37
3x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
3x + x2 = -37

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 = -37 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -37 + 2.25

Combine like terms: -37 + 2.25 = -34.75
2.25 + 3x + x2 = -34.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -34.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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