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Simplifying
4d2 + 12 + -30 = 100
Reorder the terms:
12 + -30 + 4d2 = 100
Combine like terms: 12 + -30 = -18
-18 + 4d2 = 100
Solving
-18 + 4d2 = 100
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 4d2 = 100 + 18
Combine like terms: -18 + 18 = 0
0 + 4d2 = 100 + 18
4d2 = 100 + 18
Combine like terms: 100 + 18 = 118
4d2 = 118
Divide each side by '4'.
d2 = 29.5
Simplifying
d2 = 29.5
Take the square root of each side:
d = {-5.431390246, 5.431390246}
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