(-4x^2+8x+2)+(4x^2-5x-1)-(-2x^2+3x+5)=

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Solution for (-4x^2+8x+2)+(4x^2-5x-1)-(-2x^2+3x+5)= equation: 


Simplifying
(-4x2 + 8x + 2) + (4x2 + -5x + -1) + -1(-2x2 + 3x + 5) = 0

Reorder the terms:
(2 + 8x + -4x2) + (4x2 + -5x + -1) + -1(-2x2 + 3x + 5) = 0

Remove parenthesis around (2 + 8x + -4x2)
2 + 8x + -4x2 + (4x2 + -5x + -1) + -1(-2x2 + 3x + 5) = 0

Reorder the terms:
2 + 8x + -4x2 + (-1 + -5x + 4x2) + -1(-2x2 + 3x + 5) = 0

Remove parenthesis around (-1 + -5x + 4x2)
2 + 8x + -4x2 + -1 + -5x + 4x2 + -1(-2x2 + 3x + 5) = 0

Reorder the terms:
2 + 8x + -4x2 + -1 + -5x + 4x2 + -1(5 + 3x + -2x2) = 0
2 + 8x + -4x2 + -1 + -5x + 4x2 + (5 * -1 + 3x * -1 + -2x2 * -1) = 0
2 + 8x + -4x2 + -1 + -5x + 4x2 + (-5 + -3x + 2x2) = 0

Reorder the terms:
2 + -1 + -5 + 8x + -5x + -3x + -4x2 + 4x2 + 2x2 = 0

Combine like terms: 2 + -1 = 1
1 + -5 + 8x + -5x + -3x + -4x2 + 4x2 + 2x2 = 0

Combine like terms: 1 + -5 = -4
-4 + 8x + -5x + -3x + -4x2 + 4x2 + 2x2 = 0

Combine like terms: 8x + -5x = 3x
-4 + 3x + -3x + -4x2 + 4x2 + 2x2 = 0

Combine like terms: 3x + -3x = 0
-4 + 0 + -4x2 + 4x2 + 2x2 = 0
-4 + -4x2 + 4x2 + 2x2 = 0

Combine like terms: -4x2 + 4x2 = 0
-4 + 0 + 2x2 = 0
-4 + 2x2 = 0

Solving
-4 + 2x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2x2 = 0 + 4
2x2 = 0 + 4

Combine like terms: 0 + 4 = 4
2x2 = 4

Divide each side by '2'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}

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