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Simplifying
(d + 7)(d + -7) = 0
Reorder the terms:
(7 + d)(d + -7) = 0
Reorder the terms:
(7 + d)(-7 + d) = 0
Multiply (7 + d) * (-7 + d)
(7(-7 + d) + d(-7 + d)) = 0
((-7 * 7 + d * 7) + d(-7 + d)) = 0
((-49 + 7d) + d(-7 + d)) = 0
(-49 + 7d + (-7 * d + d * d)) = 0
(-49 + 7d + (-7d + d2)) = 0
Combine like terms: 7d + -7d = 0
(-49 + 0 + d2) = 0
(-49 + d2) = 0
Solving
-49 + d2 = 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 + d2 = 0 + 49
Combine like terms: -49 + 49 = 0
0 + d2 = 0 + 49
d2 = 0 + 49
Combine like terms: 0 + 49 = 49
d2 = 49
Simplifying
d2 = 49
Take the square root of each side:
d = {-7, 7}
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