(12x^2+3x)-(8x^2-19)=

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Solution for (12x^2+3x)-(8x^2-19)= equation:


Simplifying
(12x2 + 3x) + -1(8x2 + -19) = 0

Reorder the terms:
(3x + 12x2) + -1(8x2 + -19) = 0

Remove parenthesis around (3x + 12x2)
3x + 12x2 + -1(8x2 + -19) = 0

Reorder the terms:
3x + 12x2 + -1(-19 + 8x2) = 0
3x + 12x2 + (-19 * -1 + 8x2 * -1) = 0
3x + 12x2 + (19 + -8x2) = 0

Reorder the terms:
19 + 3x + 12x2 + -8x2 = 0

Combine like terms: 12x2 + -8x2 = 4x2
19 + 3x + 4x2 = 0

Solving
19 + 3x + 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'.
4.75 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-4.75' to each side of the equation.
4.75 + 0.75x + -4.75 + x2 = 0 + -4.75

Reorder the terms:
4.75 + -4.75 + 0.75x + x2 = 0 + -4.75

Combine like terms: 4.75 + -4.75 = 0.00
0.00 + 0.75x + x2 = 0 + -4.75
0.75x + x2 = 0 + -4.75

Combine like terms: 0 + -4.75 = -4.75
0.75x + x2 = -4.75

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -4.75 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -4.75 + 0.140625

Combine like terms: -4.75 + 0.140625 = -4.609375
0.140625 + 0.75x + x2 = -4.609375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -4.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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