(0.5x^2+0.3x-0.9)-(0.7x^2+1.2)=

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Solution for (0.5x^2+0.3x-0.9)-(0.7x^2+1.2)= equation: 


Simplifying
(0.5x2 + 0.3x + -0.9) + -1(0.7x2 + 1.2) = 0

Reorder the terms:
(-0.9 + 0.3x + 0.5x2) + -1(0.7x2 + 1.2) = 0

Remove parenthesis around (-0.9 + 0.3x + 0.5x2)
-0.9 + 0.3x + 0.5x2 + -1(0.7x2 + 1.2) = 0

Reorder the terms:
-0.9 + 0.3x + 0.5x2 + -1(1.2 + 0.7x2) = 0
-0.9 + 0.3x + 0.5x2 + (1.2 * -1 + 0.7x2 * -1) = 0
-0.9 + 0.3x + 0.5x2 + (-1.2 + -0.7x2) = 0

Reorder the terms:
-0.9 + -1.2 + 0.3x + 0.5x2 + -0.7x2 = 0

Combine like terms: -0.9 + -1.2 = -2.1
-2.1 + 0.3x + 0.5x2 + -0.7x2 = 0

Combine like terms: 0.5x2 + -0.7x2 = -0.2x2
-2.1 + 0.3x + -0.2x2 = 0

Solving
-2.1 + 0.3x + -0.2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-0.2 the coefficient of the squared term: 

Divide each side by '-0.2'.
10.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-10.5' to each side of the equation.
10.5 + -1.5x + -10.5 + x2 = 0 + -10.5

Reorder the terms:
10.5 + -10.5 + -1.5x + x2 = 0 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -1.5x + x2 = 0 + -10.5
-1.5x + x2 = 0 + -10.5

Combine like terms: 0 + -10.5 = -10.5
-1.5x + x2 = -10.5

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 = -10.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -10.5 + 0.5625

Combine like terms: -10.5 + 0.5625 = -9.9375
0.5625 + -1.5x + x2 = -9.9375

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -9.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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