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Simplifying
d2 + 2d + 10 = 2d + 100
Reorder the terms:
10 + 2d + d2 = 2d + 100
Reorder the terms:
10 + 2d + d2 = 100 + 2d
Add '-2d' to each side of the equation.
10 + 2d + -2d + d2 = 100 + 2d + -2d
Combine like terms: 2d + -2d = 0
10 + 0 + d2 = 100 + 2d + -2d
10 + d2 = 100 + 2d + -2d
Combine like terms: 2d + -2d = 0
10 + d2 = 100 + 0
10 + d2 = 100
Solving
10 + d2 = 100
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + d2 = 100 + -10
Combine like terms: 10 + -10 = 0
0 + d2 = 100 + -10
d2 = 100 + -10
Combine like terms: 100 + -10 = 90
d2 = 90
Simplifying
d2 = 90
Take the square root of each side:
d = {-9.486832981, 9.486832981}
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