(3x^2-5x)+(x^2+4x+3)=

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Solution for (3x^2-5x)+(x^2+4x+3)= equation:


Simplifying
(3x2 + -5x) + (x2 + 4x + 3) = 0

Reorder the terms:
(-5x + 3x2) + (x2 + 4x + 3) = 0

Remove parenthesis around (-5x + 3x2)
-5x + 3x2 + (x2 + 4x + 3) = 0

Reorder the terms:
-5x + 3x2 + (3 + 4x + x2) = 0

Remove parenthesis around (3 + 4x + x2)
-5x + 3x2 + 3 + 4x + x2 = 0

Reorder the terms:
3 + -5x + 4x + 3x2 + x2 = 0

Combine like terms: -5x + 4x = -1x
3 + -1x + 3x2 + x2 = 0

Combine like terms: 3x2 + x2 = 4x2
3 + -1x + 4x2 = 0

Solving
3 + -1x + 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'.
0.75 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.25x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.25x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.25x + x2 = 0 + -0.75
-0.25x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.25x + x2 = -0.75

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -0.75 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.75 + 0.015625

Combine like terms: -0.75 + 0.015625 = -0.734375
0.015625 + -0.25x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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