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Simplifying
50 = -2d2 + 100
Reorder the terms:
50 = 100 + -2d2
Solving
50 = 100 + -2d2
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '2d2' to each side of the equation.
50 + 2d2 = 100 + -2d2 + 2d2
Combine like terms: -2d2 + 2d2 = 0
50 + 2d2 = 100 + 0
50 + 2d2 = 100
Add '-50' to each side of the equation.
50 + -50 + 2d2 = 100 + -50
Combine like terms: 50 + -50 = 0
0 + 2d2 = 100 + -50
2d2 = 100 + -50
Combine like terms: 100 + -50 = 50
2d2 = 50
Divide each side by '2'.
d2 = 25
Simplifying
d2 = 25
Take the square root of each side:
d = {-5, 5}
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