(2x^2+5x-2)+(3x^2+9x+17)-(5x^2-17)=

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Solution for (2x^2+5x-2)+(3x^2+9x+17)-(5x^2-17)= equation:


Simplifying
(2x2 + 5x + -2) + (3x2 + 9x + 17) + -1(5x2 + -17) = 0

Reorder the terms:
(-2 + 5x + 2x2) + (3x2 + 9x + 17) + -1(5x2 + -17) = 0

Remove parenthesis around (-2 + 5x + 2x2)
-2 + 5x + 2x2 + (3x2 + 9x + 17) + -1(5x2 + -17) = 0

Reorder the terms:
-2 + 5x + 2x2 + (17 + 9x + 3x2) + -1(5x2 + -17) = 0

Remove parenthesis around (17 + 9x + 3x2)
-2 + 5x + 2x2 + 17 + 9x + 3x2 + -1(5x2 + -17) = 0

Reorder the terms:
-2 + 5x + 2x2 + 17 + 9x + 3x2 + -1(-17 + 5x2) = 0
-2 + 5x + 2x2 + 17 + 9x + 3x2 + (-17 * -1 + 5x2 * -1) = 0
-2 + 5x + 2x2 + 17 + 9x + 3x2 + (17 + -5x2) = 0

Reorder the terms:
-2 + 17 + 17 + 5x + 9x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: -2 + 17 = 15
15 + 17 + 5x + 9x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 15 + 17 = 32
32 + 5x + 9x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 5x + 9x = 14x
32 + 14x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
32 + 14x + 5x2 + -5x2 = 0

Combine like terms: 5x2 + -5x2 = 0
32 + 14x + 0 = 0
32 + 14x = 0

Solving
32 + 14x = 0

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 14x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 14x = 0 + -32
14x = 0 + -32

Combine like terms: 0 + -32 = -32
14x = -32

Divide each side by '14'.
x = -2.285714286

Simplifying
x = -2.285714286

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