x+(x-1)+(x-2)+(x-3)x=10

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Solution for x+(x-1)+(x-2)+(x-3)x=10 equation:


Simplifying
x + (x + -1) + (x + -2) + (x + -3) * x = 10

Reorder the terms:
x + (-1 + x) + (x + -2) + (x + -3) * x = 10

Remove parenthesis around (-1 + x)
x + -1 + x + (x + -2) + (x + -3) * x = 10

Reorder the terms:
x + -1 + x + (-2 + x) + (x + -3) * x = 10

Remove parenthesis around (-2 + x)
x + -1 + x + -2 + x + (x + -3) * x = 10

Reorder the terms:
x + -1 + x + -2 + x + (-3 + x) * x = 10

Reorder the terms for easier multiplication:
x + -1 + x + -2 + x + x(-3 + x) = 10
x + -1 + x + -2 + x + (-3 * x + x * x) = 10
x + -1 + x + -2 + x + (-3x + x2) = 10

Reorder the terms:
-1 + -2 + x + x + x + -3x + x2 = 10

Combine like terms: -1 + -2 = -3
-3 + x + x + x + -3x + x2 = 10

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

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

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

Solving
-3 + x2 = 10

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + x2 = 10 + 3

Combine like terms: -3 + 3 = 0
0 + x2 = 10 + 3
x2 = 10 + 3

Combine like terms: 10 + 3 = 13
x2 = 13

Simplifying
x2 = 13

Take the square root of each side:
x = {-3.605551275, 3.605551275}

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