3x^2+35+29=3(x+3)

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Solution for 3x^2+35+29=3(x+3) equation:


Simplifying
3x2 + 35 + 29 = 3(x + 3)

Reorder the terms:
35 + 29 + 3x2 = 3(x + 3)

Combine like terms: 35 + 29 = 64
64 + 3x2 = 3(x + 3)

Reorder the terms:
64 + 3x2 = 3(3 + x)
64 + 3x2 = (3 * 3 + x * 3)
64 + 3x2 = (9 + 3x)

Solving
64 + 3x2 = 9 + 3x

Solving for variable 'x'.

Reorder the terms:
64 + -9 + -3x + 3x2 = 9 + 3x + -9 + -3x

Combine like terms: 64 + -9 = 55
55 + -3x + 3x2 = 9 + 3x + -9 + -3x

Reorder the terms:
55 + -3x + 3x2 = 9 + -9 + 3x + -3x

Combine like terms: 9 + -9 = 0
55 + -3x + 3x2 = 0 + 3x + -3x
55 + -3x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
55 + -3x + 3x2 = 0

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

Divide each side by '3'.
18.33333333 + -1x + x2 = 0

Move the constant term to the right:

Add '-18.33333333' to each side of the equation.
18.33333333 + -1x + -18.33333333 + x2 = 0 + -18.33333333

Reorder the terms:
18.33333333 + -18.33333333 + -1x + x2 = 0 + -18.33333333

Combine like terms: 18.33333333 + -18.33333333 = 0.00000000
0.00000000 + -1x + x2 = 0 + -18.33333333
-1x + x2 = 0 + -18.33333333

Combine like terms: 0 + -18.33333333 = -18.33333333
-1x + x2 = -18.33333333

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -18.33333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -18.33333333 + 0.25

Combine like terms: -18.33333333 + 0.25 = -18.08333333
0.25 + -1x + x2 = -18.08333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -18.08333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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