(7v+4g)(7v-4g)=

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Solution for (7v+4g)(7v-4g)= equation: 


Simplifying
(7v + 4g)(7v + -4g) = 0

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

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

Multiply (4g + 7v) * (-4g + 7v)
(4g * (-4g + 7v) + 7v * (-4g + 7v)) = 0
((-4g * 4g + 7v * 4g) + 7v * (-4g + 7v)) = 0

Reorder the terms:
((28gv + -16g2) + 7v * (-4g + 7v)) = 0
((28gv + -16g2) + 7v * (-4g + 7v)) = 0
(28gv + -16g2 + (-4g * 7v + 7v * 7v)) = 0
(28gv + -16g2 + (-28gv + 49v2)) = 0

Reorder the terms:
(28gv + -28gv + -16g2 + 49v2) = 0

Combine like terms: 28gv + -28gv = 0
(0 + -16g2 + 49v2) = 0
(-16g2 + 49v2) = 0

Solving
-16g2 + 49v2 = 0

Solving for variable 'g'.

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

Add '-49v2' to each side of the equation.
-16g2 + 49v2 + -49v2 = 0 + -49v2

Combine like terms: 49v2 + -49v2 = 0
-16g2 + 0 = 0 + -49v2
-16g2 = 0 + -49v2
Remove the zero:
-16g2 = -49v2

Divide each side by '-16'.
g2 = 3.0625v2

Simplifying
g2 = 3.0625v2

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

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