x^2+9.5x+87=0

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Solution for x^2+9.5x+87=0 equation:


Simplifying
x2 + 9.5x + 87 = 0

Reorder the terms:
87 + 9.5x + x2 = 0

Solving
87 + 9.5x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-87' to each side of the equation.
87 + 9.5x + -87 + x2 = 0 + -87

Reorder the terms:
87 + -87 + 9.5x + x2 = 0 + -87

Combine like terms: 87 + -87 = 0
0 + 9.5x + x2 = 0 + -87
9.5x + x2 = 0 + -87

Combine like terms: 0 + -87 = -87
9.5x + x2 = -87

The x term is 9.5x.  Take half its coefficient (4.75).
Square it (22.5625) and add it to both sides.

Add '22.5625' to each side of the equation.
9.5x + 22.5625 + x2 = -87 + 22.5625

Reorder the terms:
22.5625 + 9.5x + x2 = -87 + 22.5625

Combine like terms: -87 + 22.5625 = -64.4375
22.5625 + 9.5x + x2 = -64.4375

Factor a perfect square on the left side:
(x + 4.75)(x + 4.75) = -64.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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