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Simplifying
100x2 + -290 + 100 = 0
Reorder the terms:
-290 + 100 + 100x2 = 0
Combine like terms: -290 + 100 = -190
-190 + 100x2 = 0
Solving
-190 + 100x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '190' to each side of the equation.
-190 + 190 + 100x2 = 0 + 190
Combine like terms: -190 + 190 = 0
0 + 100x2 = 0 + 190
100x2 = 0 + 190
Combine like terms: 0 + 190 = 190
100x2 = 190
Divide each side by '100'.
x2 = 1.9
Simplifying
x2 = 1.9
Take the square root of each side:
x = {-1.378404875, 1.378404875}
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