(3x^2+4x-4)+(4x^2+5x+13)-(7x^2-17)=

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Solution for (3x^2+4x-4)+(4x^2+5x+13)-(7x^2-17)= equation:


Simplifying
(3x2 + 4x + -4) + (4x2 + 5x + 13) + -1(7x2 + -17) = 0

Reorder the terms:
(-4 + 4x + 3x2) + (4x2 + 5x + 13) + -1(7x2 + -17) = 0

Remove parenthesis around (-4 + 4x + 3x2)
-4 + 4x + 3x2 + (4x2 + 5x + 13) + -1(7x2 + -17) = 0

Reorder the terms:
-4 + 4x + 3x2 + (13 + 5x + 4x2) + -1(7x2 + -17) = 0

Remove parenthesis around (13 + 5x + 4x2)
-4 + 4x + 3x2 + 13 + 5x + 4x2 + -1(7x2 + -17) = 0

Reorder the terms:
-4 + 4x + 3x2 + 13 + 5x + 4x2 + -1(-17 + 7x2) = 0
-4 + 4x + 3x2 + 13 + 5x + 4x2 + (-17 * -1 + 7x2 * -1) = 0
-4 + 4x + 3x2 + 13 + 5x + 4x2 + (17 + -7x2) = 0

Reorder the terms:
-4 + 13 + 17 + 4x + 5x + 3x2 + 4x2 + -7x2 = 0

Combine like terms: -4 + 13 = 9
9 + 17 + 4x + 5x + 3x2 + 4x2 + -7x2 = 0

Combine like terms: 9 + 17 = 26
26 + 4x + 5x + 3x2 + 4x2 + -7x2 = 0

Combine like terms: 4x + 5x = 9x
26 + 9x + 3x2 + 4x2 + -7x2 = 0

Combine like terms: 3x2 + 4x2 = 7x2
26 + 9x + 7x2 + -7x2 = 0

Combine like terms: 7x2 + -7x2 = 0
26 + 9x + 0 = 0
26 + 9x = 0

Solving
26 + 9x = 0

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 9x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 9x = 0 + -26
9x = 0 + -26

Combine like terms: 0 + -26 = -26
9x = -26

Divide each side by '9'.
x = -2.888888889

Simplifying
x = -2.888888889

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