19=-3.5x^2+14x+3

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Solution for 19=-3.5x^2+14x+3 equation:


Simplifying
19 = -3.5x2 + 14x + 3

Reorder the terms:
19 = 3 + 14x + -3.5x2

Solving
19 = 3 + 14x + -3.5x2

Solving for variable 'x'.

Combine like terms: 19 + -3 = 16
16 + -14x + 3.5x2 = 3 + 14x + -3.5x2 + -3 + -14x + 3.5x2

Reorder the terms:
16 + -14x + 3.5x2 = 3 + -3 + 14x + -14x + -3.5x2 + 3.5x2

Combine like terms: 3 + -3 = 0
16 + -14x + 3.5x2 = 0 + 14x + -14x + -3.5x2 + 3.5x2
16 + -14x + 3.5x2 = 14x + -14x + -3.5x2 + 3.5x2

Combine like terms: 14x + -14x = 0
16 + -14x + 3.5x2 = 0 + -3.5x2 + 3.5x2
16 + -14x + 3.5x2 = -3.5x2 + 3.5x2

Combine like terms: -3.5x2 + 3.5x2 = 0.0
16 + -14x + 3.5x2 = 0.0

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

Divide each side by '3.5'.
4.571428571 + -4x + x2 = 0

Move the constant term to the right:

Add '-4.571428571' to each side of the equation.
4.571428571 + -4x + -4.571428571 + x2 = 0 + -4.571428571

Reorder the terms:
4.571428571 + -4.571428571 + -4x + x2 = 0 + -4.571428571

Combine like terms: 4.571428571 + -4.571428571 = 0.000000000
0.000000000 + -4x + x2 = 0 + -4.571428571
-4x + x2 = 0 + -4.571428571

Combine like terms: 0 + -4.571428571 = -4.571428571
-4x + x2 = -4.571428571

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = -4.571428571 + 4

Reorder the terms:
4 + -4x + x2 = -4.571428571 + 4

Combine like terms: -4.571428571 + 4 = -0.571428571
4 + -4x + x2 = -0.571428571

Factor a perfect square on the left side:
(x + -2)(x + -2) = -0.571428571

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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