x^2-5x-105=-5x-5

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Solution for x^2-5x-105=-5x-5 equation:


Simplifying
x2 + -5x + -105 = -5x + -5

Reorder the terms:
-105 + -5x + x2 = -5x + -5

Reorder the terms:
-105 + -5x + x2 = -5 + -5x

Add '5x' to each side of the equation.
-105 + -5x + 5x + x2 = -5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-105 + 0 + x2 = -5 + -5x + 5x
-105 + x2 = -5 + -5x + 5x

Combine like terms: -5x + 5x = 0
-105 + x2 = -5 + 0
-105 + x2 = -5

Solving
-105 + x2 = -5

Solving for variable 'x'.

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

Add '105' to each side of the equation.
-105 + 105 + x2 = -5 + 105

Combine like terms: -105 + 105 = 0
0 + x2 = -5 + 105
x2 = -5 + 105

Combine like terms: -5 + 105 = 100
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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