12.5x^2+5x+4.5=0

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Solution for 12.5x^2+5x+4.5=0 equation:


Simplifying
12.5x2 + 5x + 4.5 = 0

Reorder the terms:
4.5 + 5x + 12.5x2 = 0

Solving
4.5 + 5x + 12.5x2 = 0

Solving for variable 'x'.

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

Divide each side by '12.5'.
0.36 + 0.4x + x2 = 0

Move the constant term to the right:

Add '-0.36' to each side of the equation.
0.36 + 0.4x + -0.36 + x2 = 0 + -0.36

Reorder the terms:
0.36 + -0.36 + 0.4x + x2 = 0 + -0.36

Combine like terms: 0.36 + -0.36 = 0.00
0.00 + 0.4x + x2 = 0 + -0.36
0.4x + x2 = 0 + -0.36

Combine like terms: 0 + -0.36 = -0.36
0.4x + x2 = -0.36

The x term is 0.4x.  Take half its coefficient (0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
0.4x + 0.04 + x2 = -0.36 + 0.04

Reorder the terms:
0.04 + 0.4x + x2 = -0.36 + 0.04

Combine like terms: -0.36 + 0.04 = -0.32
0.04 + 0.4x + x2 = -0.32

Factor a perfect square on the left side:
(x + 0.2)(x + 0.2) = -0.32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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