3x^2+16x=-25

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Solution for 3x^2+16x=-25 equation: 


Simplifying
3x2 + 16x = -25

Reorder the terms:
16x + 3x2 = -25

Solving
16x + 3x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + 16x + 3x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 16x + 3x2 = 0

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

Divide each side by '3'.
8.333333333 + 5.333333333x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + 5.333333333x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + 5.333333333x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + 5.333333333x + x2 = 0 + -8.333333333
5.333333333x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
5.333333333x + x2 = -8.333333333

The x term is 5.333333333x.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333x + 7.111111113 + x2 = -8.333333333 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333x + x2 = -8.333333333 + 7.111111113

Combine like terms: -8.333333333 + 7.111111113 = -1.22222222
7.111111113 + 5.333333333x + x2 = -1.22222222

Factor a perfect square on the left side:
(x + 2.666666667)(x + 2.666666667) = -1.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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