4x^2+5x+10=0

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Solution for 4x^2+5x+10=0 equation:


Simplifying
4x2 + 5x + 10 = 0

Reorder the terms:
10 + 5x + 4x2 = 0

Solving
10 + 5x + 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'.
2.5 + 1.25x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 1.25x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 1.25x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 1.25x + x2 = 0 + -2.5
1.25x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
1.25x + x2 = -2.5

The x term is 1.25x.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25x + 0.390625 + x2 = -2.5 + 0.390625

Reorder the terms:
0.390625 + 1.25x + x2 = -2.5 + 0.390625

Combine like terms: -2.5 + 0.390625 = -2.109375
0.390625 + 1.25x + x2 = -2.109375

Factor a perfect square on the left side:
(x + 0.625)(x + 0.625) = -2.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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