3019(x+10)-3019(x-10)=x^2-100

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Solution for 3019(x+10)-3019(x-10)=x^2-100 equation: 


Simplifying
3019(x + 10) + -3019(x + -10) = x2 + -100

Reorder the terms:
3019(10 + x) + -3019(x + -10) = x2 + -100
(10 * 3019 + x * 3019) + -3019(x + -10) = x2 + -100
(30190 + 3019x) + -3019(x + -10) = x2 + -100

Reorder the terms:
30190 + 3019x + -3019(-10 + x) = x2 + -100
30190 + 3019x + (-10 * -3019 + x * -3019) = x2 + -100
30190 + 3019x + (30190 + -3019x) = x2 + -100

Reorder the terms:
30190 + 30190 + 3019x + -3019x = x2 + -100

Combine like terms: 30190 + 30190 = 60380
60380 + 3019x + -3019x = x2 + -100

Combine like terms: 3019x + -3019x = 0
60380 + 0 = x2 + -100
60380 = x2 + -100

Reorder the terms:
60380 = -100 + x2

Solving
60380 = -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.
60380 + -1x2 = -100 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
60380 + -1x2 = -100 + 0
60380 + -1x2 = -100

Add '-60380' to each side of the equation.
60380 + -60380 + -1x2 = -100 + -60380

Combine like terms: 60380 + -60380 = 0
0 + -1x2 = -100 + -60380
-1x2 = -100 + -60380

Combine like terms: -100 + -60380 = -60480
-1x2 = -60480

Divide each side by '-1'.
x2 = 60480

Simplifying
x2 = 60480

Take the square root of each side:
x = {-245.926818383, 245.926818383}

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