4.9x^2-10x=-9

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Solution for 4.9x^2-10x=-9 equation:


Simplifying
4.9x2 + -10x = -9

Reorder the terms:
-10x + 4.9x2 = -9

Solving
-10x + 4.9x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + -10x + 4.9x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -10x + 4.9x2 = 0

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

Divide each side by '4.9'.
1.836734694 + -2.040816327x + x2 = 0

Move the constant term to the right:

Add '-1.836734694' to each side of the equation.
1.836734694 + -2.040816327x + -1.836734694 + x2 = 0 + -1.836734694

Reorder the terms:
1.836734694 + -1.836734694 + -2.040816327x + x2 = 0 + -1.836734694

Combine like terms: 1.836734694 + -1.836734694 = 0.000000000
0.000000000 + -2.040816327x + x2 = 0 + -1.836734694
-2.040816327x + x2 = 0 + -1.836734694

Combine like terms: 0 + -1.836734694 = -1.836734694
-2.040816327x + x2 = -1.836734694

The x term is -2.040816327x.  Take half its coefficient (-1.020408164).
Square it (1.041232821) and add it to both sides.

Add '1.041232821' to each side of the equation.
-2.040816327x + 1.041232821 + x2 = -1.836734694 + 1.041232821

Reorder the terms:
1.041232821 + -2.040816327x + x2 = -1.836734694 + 1.041232821

Combine like terms: -1.836734694 + 1.041232821 = -0.795501873
1.041232821 + -2.040816327x + x2 = -0.795501873

Factor a perfect square on the left side:
(x + -1.020408164)(x + -1.020408164) = -0.795501873

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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