(4x^2+3x-1)+(3x^2+5x+17)-(6x^2-13)=

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Solution for (4x^2+3x-1)+(3x^2+5x+17)-(6x^2-13)= equation: 


Simplifying
(4x2 + 3x + -1) + (3x2 + 5x + 17) + -1(6x2 + -13) = 0

Reorder the terms:
(-1 + 3x + 4x2) + (3x2 + 5x + 17) + -1(6x2 + -13) = 0

Remove parenthesis around (-1 + 3x + 4x2)
-1 + 3x + 4x2 + (3x2 + 5x + 17) + -1(6x2 + -13) = 0

Reorder the terms:
-1 + 3x + 4x2 + (17 + 5x + 3x2) + -1(6x2 + -13) = 0

Remove parenthesis around (17 + 5x + 3x2)
-1 + 3x + 4x2 + 17 + 5x + 3x2 + -1(6x2 + -13) = 0

Reorder the terms:
-1 + 3x + 4x2 + 17 + 5x + 3x2 + -1(-13 + 6x2) = 0
-1 + 3x + 4x2 + 17 + 5x + 3x2 + (-13 * -1 + 6x2 * -1) = 0
-1 + 3x + 4x2 + 17 + 5x + 3x2 + (13 + -6x2) = 0

Reorder the terms:
-1 + 17 + 13 + 3x + 5x + 4x2 + 3x2 + -6x2 = 0

Combine like terms: -1 + 17 = 16
16 + 13 + 3x + 5x + 4x2 + 3x2 + -6x2 = 0

Combine like terms: 16 + 13 = 29
29 + 3x + 5x + 4x2 + 3x2 + -6x2 = 0

Combine like terms: 3x + 5x = 8x
29 + 8x + 4x2 + 3x2 + -6x2 = 0

Combine like terms: 4x2 + 3x2 = 7x2
29 + 8x + 7x2 + -6x2 = 0

Combine like terms: 7x2 + -6x2 = 1x2
29 + 8x + 1x2 = 0

Solving
29 + 8x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 8x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 8x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 8x + x2 = 0 + -29
8x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
8x + x2 = -29

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -29 + 16

Reorder the terms:
16 + 8x + x2 = -29 + 16

Combine like terms: -29 + 16 = -13
16 + 8x + x2 = -13

Factor a perfect square on the left side:
(x + 4)(x + 4) = -13

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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