x=-7x+9+x(4x+6)

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Solution for x=-7x+9+x(4x+6) equation: 


Simplifying
x = -7x + 9 + x(4x + 6)

Reorder the terms:
x = -7x + 9 + x(6 + 4x)
x = -7x + 9 + (6 * x + 4x * x)
x = -7x + 9 + (6x + 4x2)

Reorder the terms:
x = 9 + -7x + 6x + 4x2

Combine like terms: -7x + 6x = -1x
x = 9 + -1x + 4x2

Solving
x = 9 + -1x + 4x2

Solving for variable 'x'.

Reorder the terms:
-9 + x + x + -4x2 = 9 + -1x + 4x2 + -9 + x + -4x2

Combine like terms: x + x = 2x
-9 + 2x + -4x2 = 9 + -1x + 4x2 + -9 + x + -4x2

Reorder the terms:
-9 + 2x + -4x2 = 9 + -9 + -1x + x + 4x2 + -4x2

Combine like terms: 9 + -9 = 0
-9 + 2x + -4x2 = 0 + -1x + x + 4x2 + -4x2
-9 + 2x + -4x2 = -1x + x + 4x2 + -4x2

Combine like terms: -1x + x = 0
-9 + 2x + -4x2 = 0 + 4x2 + -4x2
-9 + 2x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-9 + 2x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
2.25 + -0.5x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -0.5x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -0.5x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -0.5x + x2 = 0 + -2.25
-0.5x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-0.5x + x2 = -2.25

The x term is -0.5x.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5x + 0.0625 + x2 = -2.25 + 0.0625

Reorder the terms:
0.0625 + -0.5x + x2 = -2.25 + 0.0625

Combine like terms: -2.25 + 0.0625 = -2.1875
0.0625 + -0.5x + x2 = -2.1875

Factor a perfect square on the left side:
(x + -0.25)(x + -0.25) = -2.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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