(4z+7)(4z-7)=

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Solution for (4z+7)(4z-7)= equation: 


Simplifying
(4z + 7)(4z + -7) = 0

Reorder the terms:
(7 + 4z)(4z + -7) = 0

Reorder the terms:
(7 + 4z)(-7 + 4z) = 0

Multiply (7 + 4z) * (-7 + 4z)
(7(-7 + 4z) + 4z * (-7 + 4z)) = 0
((-7 * 7 + 4z * 7) + 4z * (-7 + 4z)) = 0
((-49 + 28z) + 4z * (-7 + 4z)) = 0
(-49 + 28z + (-7 * 4z + 4z * 4z)) = 0
(-49 + 28z + (-28z + 16z2)) = 0

Combine like terms: 28z + -28z = 0
(-49 + 0 + 16z2) = 0
(-49 + 16z2) = 0

Solving
-49 + 16z2 = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + 16z2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 16z2 = 0 + 49
16z2 = 0 + 49

Combine like terms: 0 + 49 = 49
16z2 = 49

Divide each side by '16'.
z2 = 3.0625

Simplifying
z2 = 3.0625

Take the square root of each side:
z = {-1.75, 1.75}

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