4x^2+25x+351=0

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Solution for 4x^2+25x+351=0 equation:


Simplifying
4x2 + 25x + 351 = 0

Reorder the terms:
351 + 25x + 4x2 = 0

Solving
351 + 25x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
87.75 + 6.25x + x2 = 0

Move the constant term to the right:

Add '-87.75' to each side of the equation.
87.75 + 6.25x + -87.75 + x2 = 0 + -87.75

Reorder the terms:
87.75 + -87.75 + 6.25x + x2 = 0 + -87.75

Combine like terms: 87.75 + -87.75 = 0.00
0.00 + 6.25x + x2 = 0 + -87.75
6.25x + x2 = 0 + -87.75

Combine like terms: 0 + -87.75 = -87.75
6.25x + x2 = -87.75

The x term is 6.25x.  Take half its coefficient (3.125).
Square it (9.765625) and add it to both sides.

Add '9.765625' to each side of the equation.
6.25x + 9.765625 + x2 = -87.75 + 9.765625

Reorder the terms:
9.765625 + 6.25x + x2 = -87.75 + 9.765625

Combine like terms: -87.75 + 9.765625 = -77.984375
9.765625 + 6.25x + x2 = -77.984375

Factor a perfect square on the left side:
(x + 3.125)(x + 3.125) = -77.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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