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Simplifying
x2 + -20x2 + 100 = 0
Reorder the terms:
100 + x2 + -20x2 = 0
Combine like terms: x2 + -20x2 = -19x2
100 + -19x2 = 0
Solving
100 + -19x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-100' to each side of the equation.
100 + -100 + -19x2 = 0 + -100
Combine like terms: 100 + -100 = 0
0 + -19x2 = 0 + -100
-19x2 = 0 + -100
Combine like terms: 0 + -100 = -100
-19x2 = -100
Divide each side by '-19'.
x2 = 5.263157895
Simplifying
x2 = 5.263157895
Take the square root of each side:
x = {-2.294157339, 2.294157339}
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