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Simplifying
(3d + 7)(3d + -7) = 0
Reorder the terms:
(7 + 3d)(3d + -7) = 0
Reorder the terms:
(7 + 3d)(-7 + 3d) = 0
Multiply (7 + 3d) * (-7 + 3d)
(7(-7 + 3d) + 3d * (-7 + 3d)) = 0
((-7 * 7 + 3d * 7) + 3d * (-7 + 3d)) = 0
((-49 + 21d) + 3d * (-7 + 3d)) = 0
(-49 + 21d + (-7 * 3d + 3d * 3d)) = 0
(-49 + 21d + (-21d + 9d2)) = 0
Combine like terms: 21d + -21d = 0
(-49 + 0 + 9d2) = 0
(-49 + 9d2) = 0
Solving
-49 + 9d2 = 0
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '49' to each side of the equation.
-49 + 49 + 9d2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + 9d2 = 0 + 49
9d2 = 0 + 49
Combine like terms: 0 + 49 = 49
9d2 = 49
Divide each side by '9'.
d2 = 5.444444444
Simplifying
d2 = 5.444444444
Take the square root of each side:
d = {-2.333333333, 2.333333333}
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