4.25=(.5)(-9.8)(x^2)+4.636x

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Solution for 4.25=(.5)(-9.8)(x^2)+4.636x equation:


Simplifying
4.25 = (0.5)(-9.8)(x2) + 4.636x

Multiply 0.5 * -9.8
4.25 = -4.9x2 + 4.636x

Reorder the terms:
4.25 = 4.636x + -4.9x2

Solving
4.25 = 4.636x + -4.9x2

Solving for variable 'x'.

Reorder the terms:
4.25 + -4.636x + 4.9x2 = 4.636x + -4.636x + -4.9x2 + 4.9x2

Combine like terms: 4.636x + -4.636x = 0.000
4.25 + -4.636x + 4.9x2 = 0.000 + -4.9x2 + 4.9x2
4.25 + -4.636x + 4.9x2 = -4.9x2 + 4.9x2

Combine like terms: -4.9x2 + 4.9x2 = 0.0
4.25 + -4.636x + 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'.
0.8673469388 + -0.946122449x + x2 = 0

Move the constant term to the right:

Add '-0.8673469388' to each side of the equation.
0.8673469388 + -0.946122449x + -0.8673469388 + x2 = 0 + -0.8673469388

Reorder the terms:
0.8673469388 + -0.8673469388 + -0.946122449x + x2 = 0 + -0.8673469388

Combine like terms: 0.8673469388 + -0.8673469388 = 0.0000000000
0.0000000000 + -0.946122449x + x2 = 0 + -0.8673469388
-0.946122449x + x2 = 0 + -0.8673469388

Combine like terms: 0 + -0.8673469388 = -0.8673469388
-0.946122449x + x2 = -0.8673469388

The x term is -0.946122449x.  Take half its coefficient (-0.4730612245).
Square it (0.2237869221) and add it to both sides.

Add '0.2237869221' to each side of the equation.
-0.946122449x + 0.2237869221 + x2 = -0.8673469388 + 0.2237869221

Reorder the terms:
0.2237869221 + -0.946122449x + x2 = -0.8673469388 + 0.2237869221

Combine like terms: -0.8673469388 + 0.2237869221 = -0.6435600167
0.2237869221 + -0.946122449x + x2 = -0.6435600167

Factor a perfect square on the left side:
(x + -0.4730612245)(x + -0.4730612245) = -0.6435600167

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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