15x-7x^2-16=0

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Solution for 15x-7x^2-16=0 equation:


Simplifying
15x + -7x2 + -16 = 0

Reorder the terms:
-16 + 15x + -7x2 = 0

Solving
-16 + 15x + -7x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
2.285714286 + -2.142857143x + x2 = 0

Move the constant term to the right:

Add '-2.285714286' to each side of the equation.
2.285714286 + -2.142857143x + -2.285714286 + x2 = 0 + -2.285714286

Reorder the terms:
2.285714286 + -2.285714286 + -2.142857143x + x2 = 0 + -2.285714286

Combine like terms: 2.285714286 + -2.285714286 = 0.000000000
0.000000000 + -2.142857143x + x2 = 0 + -2.285714286
-2.142857143x + x2 = 0 + -2.285714286

Combine like terms: 0 + -2.285714286 = -2.285714286
-2.142857143x + x2 = -2.285714286

The x term is -2.142857143x.  Take half its coefficient (-1.071428572).
Square it (1.147959185) and add it to both sides.

Add '1.147959185' to each side of the equation.
-2.142857143x + 1.147959185 + x2 = -2.285714286 + 1.147959185

Reorder the terms:
1.147959185 + -2.142857143x + x2 = -2.285714286 + 1.147959185

Combine like terms: -2.285714286 + 1.147959185 = -1.137755101
1.147959185 + -2.142857143x + x2 = -1.137755101

Factor a perfect square on the left side:
(x + -1.071428572)(x + -1.071428572) = -1.137755101

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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