7x^2+18=-9x

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Solution for 7x^2+18=-9x equation:


Simplifying
7x2 + 18 = -9x

Reorder the terms:
18 + 7x2 = -9x

Solving
18 + 7x2 = -9x

Solving for variable 'x'.

Reorder the terms:
18 + 9x + 7x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
18 + 9x + 7x2 = 0

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

Divide each side by '7'.
2.571428571 + 1.285714286x + x2 = 0

Move the constant term to the right:

Add '-2.571428571' to each side of the equation.
2.571428571 + 1.285714286x + -2.571428571 + x2 = 0 + -2.571428571

Reorder the terms:
2.571428571 + -2.571428571 + 1.285714286x + x2 = 0 + -2.571428571

Combine like terms: 2.571428571 + -2.571428571 = 0.000000000
0.000000000 + 1.285714286x + x2 = 0 + -2.571428571
1.285714286x + x2 = 0 + -2.571428571

Combine like terms: 0 + -2.571428571 = -2.571428571
1.285714286x + x2 = -2.571428571

The x term is 1.285714286x.  Take half its coefficient (0.642857143).
Square it (0.4132653063) and add it to both sides.

Add '0.4132653063' to each side of the equation.
1.285714286x + 0.4132653063 + x2 = -2.571428571 + 0.4132653063

Reorder the terms:
0.4132653063 + 1.285714286x + x2 = -2.571428571 + 0.4132653063

Combine like terms: -2.571428571 + 0.4132653063 = -2.1581632647
0.4132653063 + 1.285714286x + x2 = -2.1581632647

Factor a perfect square on the left side:
(x + 0.642857143)(x + 0.642857143) = -2.1581632647

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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