=(x-3*x)+(x-3*x)+(x*x+5)+(x*x+5)+(x-3)*(x+5)+(x-3)*(x+5)

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Solution for =(x-3*x)+(x-3*x)+(x*x+5)+(x*x+5)+(x-3)*(x+5)+(x-3)*(x+5) equation: 


Simplifying
0 = (x + -3x) + (x + -3x) + (x * x + 5) + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)

Combine like terms: x + -3x = -2x
0 = (-2x) + (x + -3x) + (x * x + 5) + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)
0 = (-2x) + (x + -3x) + (x * x + 5) + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)

Combine like terms: x + -3x = -2x
0 = (-2x) + (-2x) + (x * x + 5) + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)
0 = (-2x) + (-2x) + (x * x + 5) + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)

Multiply x * x
0 = (-2x) + (-2x) + (x2 + 5) + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)

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

Remove parenthesis around (5 + x2)
0 = (-2x) + (-2x) + 5 + x2 + (x * x + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)

Multiply x * x
0 = (-2x) + (-2x) + 5 + x2 + (x2 + 5) + (x + -3)(x + 5) + (x + -3)(x + 5)

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

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

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

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

Multiply (-3 + x) * (5 + x)
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + (-3(5 + x) + x(5 + x)) + (x + -3)(x + 5)
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + ((5 * -3 + x * -3) + x(5 + x)) + (x + -3)(x + 5)
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + ((-15 + -3x) + x(5 + x)) + (x + -3)(x + 5)
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + (-15 + -3x + (5 * x + x * x)) + (x + -3)(x + 5)
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + (-15 + -3x + (5x + x2)) + (x + -3)(x + 5)

Combine like terms: -3x + 5x = 2x
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + (-15 + 2x + x2) + (x + -3)(x + 5)

Reorder the terms:
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + (-3 + x)(x + 5)

Reorder the terms:
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + (-3 + x)(5 + x)

Multiply (-3 + x) * (5 + x)
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + (-3(5 + x) + x(5 + x))
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + ((5 * -3 + x * -3) + x(5 + x))
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + ((-15 + -3x) + x(5 + x))
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + (-15 + -3x + (5 * x + x * x))
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + (-15 + -3x + (5x + x2))

Combine like terms: -3x + 5x = 2x
0 = (-2x) + (-2x) + 5 + x2 + 5 + x2 + -15 + 2x + x2 + (-15 + 2x + x2)

Reorder the terms:
0 = 5 + 5 + -15 + -15 + (-2x) + (-2x) + 2x + 2x + x2 + x2 + x2 + x2

Combine like terms: 5 + 5 = 10
0 = 10 + -15 + -15 + (-2x) + (-2x) + 2x + 2x + x2 + x2 + x2 + x2

Combine like terms: 10 + -15 = -5
0 = -5 + -15 + (-2x) + (-2x) + 2x + 2x + x2 + x2 + x2 + x2

Combine like terms: -5 + -15 = -20
0 = -20 + (-2x) + (-2x) + 2x + 2x + x2 + x2 + x2 + x2

Combine like terms: (-2x) + (-2x) = -4x
0 = -20 + -4x + 2x + 2x + x2 + x2 + x2 + x2

Combine like terms: -4x + 2x = -2x
0 = -20 + -2x + 2x + x2 + x2 + x2 + x2

Combine like terms: -2x + 2x = 0
0 = -20 + 0 + x2 + x2 + x2 + x2
0 = -20 + x2 + x2 + x2 + x2

Combine like terms: x2 + x2 = 2x2
0 = -20 + 2x2 + x2 + x2

Combine like terms: 2x2 + x2 = 3x2
0 = -20 + 3x2 + x2

Combine like terms: 3x2 + x2 = 4x2
0 = -20 + 4x2

Solving
0 = -20 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
0 + -4x2 = -20 + 4x2 + -4x2
Remove the zero:
-4x2 = -20 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x2 = -20 + 0
-4x2 = -20

Divide each side by '-4'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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