(2d+7)(2d-7)=

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Solution for (2d+7)(2d-7)= equation:


Simplifying
(2d + 7)(2d + -7) = 0

Reorder the terms:
(7 + 2d)(2d + -7) = 0

Reorder the terms:
(7 + 2d)(-7 + 2d) = 0

Multiply (7 + 2d) * (-7 + 2d)
(7(-7 + 2d) + 2d * (-7 + 2d)) = 0
((-7 * 7 + 2d * 7) + 2d * (-7 + 2d)) = 0
((-49 + 14d) + 2d * (-7 + 2d)) = 0
(-49 + 14d + (-7 * 2d + 2d * 2d)) = 0
(-49 + 14d + (-14d + 4d2)) = 0

Combine like terms: 14d + -14d = 0
(-49 + 0 + 4d2) = 0
(-49 + 4d2) = 0

Solving
-49 + 4d2 = 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 + 4d2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4d2 = 0 + 49
4d2 = 0 + 49

Combine like terms: 0 + 49 = 49
4d2 = 49

Divide each side by '4'.
d2 = 12.25

Simplifying
d2 = 12.25

Take the square root of each side:
d = {-3.5, 3.5}

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