350=-7.5x^2+83.9x+19.9

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Solution for 350=-7.5x^2+83.9x+19.9 equation: 


Simplifying
350 = -7.5x2 + 83.9x + 19.9

Reorder the terms:
350 = 19.9 + 83.9x + -7.5x2

Solving
350 = 19.9 + 83.9x + -7.5x2

Solving for variable 'x'.

Combine like terms: 350 + -19.9 = 330.1
330.1 + -83.9x + 7.5x2 = 19.9 + 83.9x + -7.5x2 + -19.9 + -83.9x + 7.5x2

Reorder the terms:
330.1 + -83.9x + 7.5x2 = 19.9 + -19.9 + 83.9x + -83.9x + -7.5x2 + 7.5x2

Combine like terms: 19.9 + -19.9 = 0.0
330.1 + -83.9x + 7.5x2 = 0.0 + 83.9x + -83.9x + -7.5x2 + 7.5x2
330.1 + -83.9x + 7.5x2 = 83.9x + -83.9x + -7.5x2 + 7.5x2

Combine like terms: 83.9x + -83.9x = 0.0
330.1 + -83.9x + 7.5x2 = 0.0 + -7.5x2 + 7.5x2
330.1 + -83.9x + 7.5x2 = -7.5x2 + 7.5x2

Combine like terms: -7.5x2 + 7.5x2 = 0.0
330.1 + -83.9x + 7.5x2 = 0.0

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

Divide each side by '7.5'.
44.01333333 + -11.18666667x + x2 = 0

Move the constant term to the right:

Add '-44.01333333' to each side of the equation.
44.01333333 + -11.18666667x + -44.01333333 + x2 = 0 + -44.01333333

Reorder the terms:
44.01333333 + -44.01333333 + -11.18666667x + x2 = 0 + -44.01333333

Combine like terms: 44.01333333 + -44.01333333 = 0.00000000
0.00000000 + -11.18666667x + x2 = 0 + -44.01333333
-11.18666667x + x2 = 0 + -44.01333333

Combine like terms: 0 + -44.01333333 = -44.01333333
-11.18666667x + x2 = -44.01333333

The x term is -11.18666667x.  Take half its coefficient (-5.593333335).
Square it (31.28537780) and add it to both sides.

Add '31.28537780' to each side of the equation.
-11.18666667x + 31.28537780 + x2 = -44.01333333 + 31.28537780

Reorder the terms:
31.28537780 + -11.18666667x + x2 = -44.01333333 + 31.28537780

Combine like terms: -44.01333333 + 31.28537780 = -12.72795553
31.28537780 + -11.18666667x + x2 = -12.72795553

Factor a perfect square on the left side:
(x + -5.593333335)(x + -5.593333335) = -12.72795553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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