3x+2x(-x-4.6)=18

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Solution for 3x+2x(-x-4.6)=18 equation:


Simplifying
3x + 2x(-1x + -4.6) = 18

Reorder the terms:
3x + 2x(-4.6 + -1x) = 18
3x + (-4.6 * 2x + -1x * 2x) = 18
3x + (-9.2x + -2x2) = 18

Combine like terms: 3x + -9.2x = -6.2x
-6.2x + -2x2 = 18

Solving
-6.2x + -2x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -6.2x + -2x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -6.2x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
9 + 3.1x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + 3.1x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + 3.1x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3.1x + x2 = 0 + -9
3.1x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
3.1x + x2 = -9

The x term is 3.1x.  Take half its coefficient (1.55).
Square it (2.4025) and add it to both sides.

Add '2.4025' to each side of the equation.
3.1x + 2.4025 + x2 = -9 + 2.4025

Reorder the terms:
2.4025 + 3.1x + x2 = -9 + 2.4025

Combine like terms: -9 + 2.4025 = -6.5975
2.4025 + 3.1x + x2 = -6.5975

Factor a perfect square on the left side:
(x + 1.55)(x + 1.55) = -6.5975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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