5x^2+9x=-9

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Solution for 5x^2+9x=-9 equation:


Simplifying
5x2 + 9x = -9

Reorder the terms:
9x + 5x2 = -9

Solving
9x + 5x2 = -9

Solving for variable 'x'.

Reorder the terms:
9 + 9x + 5x2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 9x + 5x2 = 0

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

Divide each side by '5'.
1.8 + 1.8x + x2 = 0

Move the constant term to the right:

Add '-1.8' to each side of the equation.
1.8 + 1.8x + -1.8 + x2 = 0 + -1.8

Reorder the terms:
1.8 + -1.8 + 1.8x + x2 = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 1.8x + x2 = 0 + -1.8
1.8x + x2 = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
1.8x + x2 = -1.8

The x term is 1.8x.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8x + 0.81 + x2 = -1.8 + 0.81

Reorder the terms:
0.81 + 1.8x + x2 = -1.8 + 0.81

Combine like terms: -1.8 + 0.81 = -0.99
0.81 + 1.8x + x2 = -0.99

Factor a perfect square on the left side:
(x + 0.9)(x + 0.9) = -0.99

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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