2x+(3-x)(3+x)+1=2-(x-4)(x+2)

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


Simplifying
2x + (3 + -1x)(3 + x) + 1 = 2 + -1(x + -4)(x + 2)

Multiply (3 + -1x) * (3 + x)
2x + (3(3 + x) + -1x * (3 + x)) + 1 = 2 + -1(x + -4)(x + 2)
2x + ((3 * 3 + x * 3) + -1x * (3 + x)) + 1 = 2 + -1(x + -4)(x + 2)
2x + ((9 + 3x) + -1x * (3 + x)) + 1 = 2 + -1(x + -4)(x + 2)
2x + (9 + 3x + (3 * -1x + x * -1x)) + 1 = 2 + -1(x + -4)(x + 2)
2x + (9 + 3x + (-3x + -1x2)) + 1 = 2 + -1(x + -4)(x + 2)

Combine like terms: 3x + -3x = 0
2x + (9 + 0 + -1x2) + 1 = 2 + -1(x + -4)(x + 2)
2x + (9 + -1x2) + 1 = 2 + -1(x + -4)(x + 2)

Reorder the terms:
9 + 1 + 2x + -1x2 = 2 + -1(x + -4)(x + 2)

Combine like terms: 9 + 1 = 10
10 + 2x + -1x2 = 2 + -1(x + -4)(x + 2)

Reorder the terms:
10 + 2x + -1x2 = 2 + -1(-4 + x)(x + 2)

Reorder the terms:
10 + 2x + -1x2 = 2 + -1(-4 + x)(2 + x)

Multiply (-4 + x) * (2 + x)
10 + 2x + -1x2 = 2 + -1(-4(2 + x) + x(2 + x))
10 + 2x + -1x2 = 2 + -1((2 * -4 + x * -4) + x(2 + x))
10 + 2x + -1x2 = 2 + -1((-8 + -4x) + x(2 + x))
10 + 2x + -1x2 = 2 + -1(-8 + -4x + (2 * x + x * x))
10 + 2x + -1x2 = 2 + -1(-8 + -4x + (2x + x2))

Combine like terms: -4x + 2x = -2x
10 + 2x + -1x2 = 2 + -1(-8 + -2x + x2)
10 + 2x + -1x2 = 2 + (-8 * -1 + -2x * -1 + x2 * -1)
10 + 2x + -1x2 = 2 + (8 + 2x + -1x2)

Combine like terms: 2 + 8 = 10
10 + 2x + -1x2 = 10 + 2x + -1x2

Add '-10' to each side of the equation.
10 + 2x + -10 + -1x2 = 10 + 2x + -10 + -1x2

Reorder the terms:
10 + -10 + 2x + -1x2 = 10 + 2x + -10 + -1x2

Combine like terms: 10 + -10 = 0
0 + 2x + -1x2 = 10 + 2x + -10 + -1x2
2x + -1x2 = 10 + 2x + -10 + -1x2

Reorder the terms:
2x + -1x2 = 10 + -10 + 2x + -1x2

Combine like terms: 10 + -10 = 0
2x + -1x2 = 0 + 2x + -1x2
2x + -1x2 = 2x + -1x2

Add '-2x' to each side of the equation.
2x + -2x + -1x2 = 2x + -2x + -1x2

Combine like terms: 2x + -2x = 0
0 + -1x2 = 2x + -2x + -1x2
-1x2 = 2x + -2x + -1x2

Combine like terms: 2x + -2x = 0
-1x2 = 0 + -1x2
-1x2 = -1x2

Add 'x2' to each side of the equation.
-1x2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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