143=34.17x-4.9x^2

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Solution for 143=34.17x-4.9x^2 equation: 


Simplifying
143 = 34.17x + -4.9x2

Solving
143 = 34.17x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
143 + -34.17x + 4.9x2 = 34.17x + -34.17x + -4.9x2 + 4.9x2

Combine like terms: 34.17x + -34.17x = 0.00
143 + -34.17x + 4.9x2 = 0.00 + -4.9x2 + 4.9x2
143 + -34.17x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
143 + -34.17x + 4.9x2 = 0.0

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

Divide each side by '4.9'.
29.18367347 + -6.973469388x + x2 = 0

Move the constant term to the right:

Add '-29.18367347' to each side of the equation.
29.18367347 + -6.973469388x + -29.18367347 + x2 = 0 + -29.18367347

Reorder the terms:
29.18367347 + -29.18367347 + -6.973469388x + x2 = 0 + -29.18367347

Combine like terms: 29.18367347 + -29.18367347 = 0.00000000
0.00000000 + -6.973469388x + x2 = 0 + -29.18367347
-6.973469388x + x2 = 0 + -29.18367347

Combine like terms: 0 + -29.18367347 = -29.18367347
-6.973469388x + x2 = -29.18367347

The x term is -6.973469388x.  Take half its coefficient (-3.486734694).
Square it (12.15731883) and add it to both sides.

Add '12.15731883' to each side of the equation.
-6.973469388x + 12.15731883 + x2 = -29.18367347 + 12.15731883

Reorder the terms:
12.15731883 + -6.973469388x + x2 = -29.18367347 + 12.15731883

Combine like terms: -29.18367347 + 12.15731883 = -17.02635464
12.15731883 + -6.973469388x + x2 = -17.02635464

Factor a perfect square on the left side:
(x + -3.486734694)(x + -3.486734694) = -17.02635464

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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