3000(x+10)-3000(x-10)=x^2-100

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Solution for 3000(x+10)-3000(x-10)=x^2-100 equation: 


Simplifying
3000(x + 10) + -3000(x + -10) = x2 + -100

Reorder the terms:
3000(10 + x) + -3000(x + -10) = x2 + -100
(10 * 3000 + x * 3000) + -3000(x + -10) = x2 + -100
(30000 + 3000x) + -3000(x + -10) = x2 + -100

Reorder the terms:
30000 + 3000x + -3000(-10 + x) = x2 + -100
30000 + 3000x + (-10 * -3000 + x * -3000) = x2 + -100
30000 + 3000x + (30000 + -3000x) = x2 + -100

Reorder the terms:
30000 + 30000 + 3000x + -3000x = x2 + -100

Combine like terms: 30000 + 30000 = 60000
60000 + 3000x + -3000x = x2 + -100

Combine like terms: 3000x + -3000x = 0
60000 + 0 = x2 + -100
60000 = x2 + -100

Reorder the terms:
60000 = -100 + x2

Solving
60000 = -100 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
60000 + -1x2 = -100 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60000 + -1x2 = -100 + 0
60000 + -1x2 = -100

Add '-60000' to each side of the equation.
60000 + -60000 + -1x2 = -100 + -60000

Combine like terms: 60000 + -60000 = 0
0 + -1x2 = -100 + -60000
-1x2 = -100 + -60000

Combine like terms: -100 + -60000 = -60100
-1x2 = -60100

Divide each side by '-1'.
x2 = 60100

Simplifying
x2 = 60100

Take the square root of each side:
x = {-245.153013443, 245.153013443}

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