(2x^2-3x+6)+(5x^2-9x+4)+(8x^2+12x)=

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Solution for (2x^2-3x+6)+(5x^2-9x+4)+(8x^2+12x)= equation: 


Simplifying
(2x2 + -3x + 6) + (5x2 + -9x + 4) + (8x2 + 12x) = 0

Reorder the terms:
(6 + -3x + 2x2) + (5x2 + -9x + 4) + (8x2 + 12x) = 0

Remove parenthesis around (6 + -3x + 2x2)
6 + -3x + 2x2 + (5x2 + -9x + 4) + (8x2 + 12x) = 0

Reorder the terms:
6 + -3x + 2x2 + (4 + -9x + 5x2) + (8x2 + 12x) = 0

Remove parenthesis around (4 + -9x + 5x2)
6 + -3x + 2x2 + 4 + -9x + 5x2 + (8x2 + 12x) = 0

Reorder the terms:
6 + -3x + 2x2 + 4 + -9x + 5x2 + (12x + 8x2) = 0

Remove parenthesis around (12x + 8x2)
6 + -3x + 2x2 + 4 + -9x + 5x2 + 12x + 8x2 = 0

Reorder the terms:
6 + 4 + -3x + -9x + 12x + 2x2 + 5x2 + 8x2 = 0

Combine like terms: 6 + 4 = 10
10 + -3x + -9x + 12x + 2x2 + 5x2 + 8x2 = 0

Combine like terms: -3x + -9x = -12x
10 + -12x + 12x + 2x2 + 5x2 + 8x2 = 0

Combine like terms: -12x + 12x = 0
10 + 0 + 2x2 + 5x2 + 8x2 = 0
10 + 2x2 + 5x2 + 8x2 = 0

Combine like terms: 2x2 + 5x2 = 7x2
10 + 7x2 + 8x2 = 0

Combine like terms: 7x2 + 8x2 = 15x2
10 + 15x2 = 0

Solving
10 + 15x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 15x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 15x2 = 0 + -10
15x2 = 0 + -10

Combine like terms: 0 + -10 = -10
15x2 = -10

Divide each side by '15'.
x2 = -0.6666666667

Simplifying
x2 = -0.6666666667

Reorder the terms:
0.6666666667 + x2 = -0.6666666667 + 0.6666666667

Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000
0.6666666667 + x2 = 0.0000000000

The solution to this equation could not be determined.

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