15x^2+16x=-7

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Solution for 15x^2+16x=-7 equation: 


Simplifying
15x2 + 16x = -7

Reorder the terms:
16x + 15x2 = -7

Solving
16x + 15x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + 16x + 15x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 16x + 15x2 = 0

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

Divide each side by '15'.
0.4666666667 + 1.066666667x + x2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + 1.066666667x + -0.4666666667 + x2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + 1.066666667x + x2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + 1.066666667x + x2 = 0 + -0.4666666667
1.066666667x + x2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
1.066666667x + x2 = -0.4666666667

The x term is 1.066666667x.  Take half its coefficient (0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
1.066666667x + 0.2844444446 + x2 = -0.4666666667 + 0.2844444446

Reorder the terms:
0.2844444446 + 1.066666667x + x2 = -0.4666666667 + 0.2844444446

Combine like terms: -0.4666666667 + 0.2844444446 = -0.1822222221
0.2844444446 + 1.066666667x + x2 = -0.1822222221

Factor a perfect square on the left side:
(x + 0.5333333335)(x + 0.5333333335) = -0.1822222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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