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Simplifying
100 = -4.9x2 + 1000
Reorder the terms:
100 = 1000 + -4.9x2
Solving
100 = 1000 + -4.9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4.9x2' to each side of the equation.
100 + 4.9x2 = 1000 + -4.9x2 + 4.9x2
Combine like terms: -4.9x2 + 4.9x2 = 0.0
100 + 4.9x2 = 1000 + 0.0
100 + 4.9x2 = 1000
Add '-100' to each side of the equation.
100 + -100 + 4.9x2 = 1000 + -100
Combine like terms: 100 + -100 = 0
0 + 4.9x2 = 1000 + -100
4.9x2 = 1000 + -100
Combine like terms: 1000 + -100 = 900
4.9x2 = 900
Divide each side by '4.9'.
x2 = 183.6734694
Simplifying
x2 = 183.6734694
Take the square root of each side:
x = {-13.552618544, 13.552618544}
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