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Simplifying
x2 + 25 + -100 = 0
Reorder the terms:
25 + -100 + x2 = 0
Combine like terms: 25 + -100 = -75
-75 + x2 = 0
Solving
-75 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '75' to each side of the equation.
-75 + 75 + x2 = 0 + 75
Combine like terms: -75 + 75 = 0
0 + x2 = 0 + 75
x2 = 0 + 75
Combine like terms: 0 + 75 = 75
x2 = 75
Simplifying
x2 = 75
Take the square root of each side:
x = {-8.660254038, 8.660254038}
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