2x^2+4x+16=x^2+7x+12

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Solution for 2x^2+4x+16=x^2+7x+12 equation: 


Simplifying
2x2 + 4x + 16 = x2 + 7x + 12

Reorder the terms:
16 + 4x + 2x2 = x2 + 7x + 12

Reorder the terms:
16 + 4x + 2x2 = 12 + 7x + x2

Solving
16 + 4x + 2x2 = 12 + 7x + x2

Solving for variable 'x'.

Reorder the terms:
16 + -12 + 4x + -7x + 2x2 + -1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Combine like terms: 16 + -12 = 4
4 + 4x + -7x + 2x2 + -1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Combine like terms: 4x + -7x = -3x
4 + -3x + 2x2 + -1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
4 + -3x + 1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Reorder the terms:
4 + -3x + 1x2 = 12 + -12 + 7x + -7x + x2 + -1x2

Combine like terms: 12 + -12 = 0
4 + -3x + 1x2 = 0 + 7x + -7x + x2 + -1x2
4 + -3x + 1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
4 + -3x + 1x2 = 0 + x2 + -1x2
4 + -3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 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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