x^2+14+12=8x+4

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Solution for x^2+14+12=8x+4 equation:


Simplifying
x2 + 14 + 12 = 8x + 4

Reorder the terms:
14 + 12 + x2 = 8x + 4

Combine like terms: 14 + 12 = 26
26 + x2 = 8x + 4

Reorder the terms:
26 + x2 = 4 + 8x

Solving
26 + x2 = 4 + 8x

Solving for variable 'x'.

Reorder the terms:
26 + -4 + -8x + x2 = 4 + 8x + -4 + -8x

Combine like terms: 26 + -4 = 22
22 + -8x + x2 = 4 + 8x + -4 + -8x

Reorder the terms:
22 + -8x + x2 = 4 + -4 + 8x + -8x

Combine like terms: 4 + -4 = 0
22 + -8x + x2 = 0 + 8x + -8x
22 + -8x + x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
22 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -8x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -8x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -8x + x2 = 0 + -22
-8x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-8x + x2 = -22

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -22 + 16

Reorder the terms:
16 + -8x + x2 = -22 + 16

Combine like terms: -22 + 16 = -6
16 + -8x + x2 = -6

Factor a perfect square on the left side:
(x + -4)(x + -4) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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