100-200x^2=-1x^2-100

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Solution for 100-200x^2=-1x^2-100 equation: 


Simplifying
100 + -200x2 = -1x2 + -100

Reorder the terms:
100 + -200x2 = -100 + -1x2

Solving
100 + -200x2 = -100 + -1x2

Solving for variable 'x'.

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

Add 'x2' to each side of the equation.
100 + -200x2 + x2 = -100 + -1x2 + x2

Combine like terms: -200x2 + x2 = -199x2
100 + -199x2 = -100 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
100 + -199x2 = -100 + 0
100 + -199x2 = -100

Add '-100' to each side of the equation.
100 + -100 + -199x2 = -100 + -100

Combine like terms: 100 + -100 = 0
0 + -199x2 = -100 + -100
-199x2 = -100 + -100

Combine like terms: -100 + -100 = -200
-199x2 = -200

Divide each side by '-199'.
x2 = 1.005025126

Simplifying
x2 = 1.005025126

Take the square root of each side:
x = {-1.002509414, 1.002509414}

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