X^2+1.5X+1.5625=0

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Solution for X^2+1.5X+1.5625=0 equation:


Simplifying
X2 + 1.5X + 1.5625 = 0

Reorder the terms:
1.5625 + 1.5X + X2 = 0

Solving
1.5625 + 1.5X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-1.5625' to each side of the equation.
1.5625 + 1.5X + -1.5625 + X2 = 0 + -1.5625

Reorder the terms:
1.5625 + -1.5625 + 1.5X + X2 = 0 + -1.5625

Combine like terms: 1.5625 + -1.5625 = 0.0000
0.0000 + 1.5X + X2 = 0 + -1.5625
1.5X + X2 = 0 + -1.5625

Combine like terms: 0 + -1.5625 = -1.5625
1.5X + X2 = -1.5625

The X term is 1.5X.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5X + 0.5625 + X2 = -1.5625 + 0.5625

Reorder the terms:
0.5625 + 1.5X + X2 = -1.5625 + 0.5625

Combine like terms: -1.5625 + 0.5625 = -1
0.5625 + 1.5X + X2 = -1

Factor a perfect square on the left side:
(X + 0.75)(X + 0.75) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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