(2x^2+8x-2)+(3x^2+2x+12)-(5x^2-14)=

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Solution for (2x^2+8x-2)+(3x^2+2x+12)-(5x^2-14)= equation:


Simplifying
(2x2 + 8x + -2) + (3x2 + 2x + 12) + -1(5x2 + -14) = 0

Reorder the terms:
(-2 + 8x + 2x2) + (3x2 + 2x + 12) + -1(5x2 + -14) = 0

Remove parenthesis around (-2 + 8x + 2x2)
-2 + 8x + 2x2 + (3x2 + 2x + 12) + -1(5x2 + -14) = 0

Reorder the terms:
-2 + 8x + 2x2 + (12 + 2x + 3x2) + -1(5x2 + -14) = 0

Remove parenthesis around (12 + 2x + 3x2)
-2 + 8x + 2x2 + 12 + 2x + 3x2 + -1(5x2 + -14) = 0

Reorder the terms:
-2 + 8x + 2x2 + 12 + 2x + 3x2 + -1(-14 + 5x2) = 0
-2 + 8x + 2x2 + 12 + 2x + 3x2 + (-14 * -1 + 5x2 * -1) = 0
-2 + 8x + 2x2 + 12 + 2x + 3x2 + (14 + -5x2) = 0

Reorder the terms:
-2 + 12 + 14 + 8x + 2x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: -2 + 12 = 10
10 + 14 + 8x + 2x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 10 + 14 = 24
24 + 8x + 2x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 8x + 2x = 10x
24 + 10x + 2x2 + 3x2 + -5x2 = 0

Combine like terms: 2x2 + 3x2 = 5x2
24 + 10x + 5x2 + -5x2 = 0

Combine like terms: 5x2 + -5x2 = 0
24 + 10x + 0 = 0
24 + 10x = 0

Solving
24 + 10x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 10x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 0 + -24
10x = 0 + -24

Combine like terms: 0 + -24 = -24
10x = -24

Divide each side by '10'.
x = -2.4

Simplifying
x = -2.4

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