64x^2+265x+987=0

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Solution for 64x^2+265x+987=0 equation:


Simplifying
64x2 + 265x + 987 = 0

Reorder the terms:
987 + 265x + 64x2 = 0

Solving
987 + 265x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
15.421875 + 4.140625x + x2 = 0

Move the constant term to the right:

Add '-15.421875' to each side of the equation.
15.421875 + 4.140625x + -15.421875 + x2 = 0 + -15.421875

Reorder the terms:
15.421875 + -15.421875 + 4.140625x + x2 = 0 + -15.421875

Combine like terms: 15.421875 + -15.421875 = 0.000000
0.000000 + 4.140625x + x2 = 0 + -15.421875
4.140625x + x2 = 0 + -15.421875

Combine like terms: 0 + -15.421875 = -15.421875
4.140625x + x2 = -15.421875

The x term is 4.140625x.  Take half its coefficient (2.0703125).
Square it (4.286193848) and add it to both sides.

Add '4.286193848' to each side of the equation.
4.140625x + 4.286193848 + x2 = -15.421875 + 4.286193848

Reorder the terms:
4.286193848 + 4.140625x + x2 = -15.421875 + 4.286193848

Combine like terms: -15.421875 + 4.286193848 = -11.135681152
4.286193848 + 4.140625x + x2 = -11.135681152

Factor a perfect square on the left side:
(x + 2.0703125)(x + 2.0703125) = -11.135681152

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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