(v-7)(v-7)=v^2-20v+54

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Solution for (v-7)(v-7)=v^2-20v+54 equation:


Simplifying
(v + -7)(v + -7) = v2 + -20v + 54

Reorder the terms:
(-7 + v)(v + -7) = v2 + -20v + 54

Reorder the terms:
(-7 + v)(-7 + v) = v2 + -20v + 54

Multiply (-7 + v) * (-7 + v)
(-7(-7 + v) + v(-7 + v)) = v2 + -20v + 54
((-7 * -7 + v * -7) + v(-7 + v)) = v2 + -20v + 54
((49 + -7v) + v(-7 + v)) = v2 + -20v + 54
(49 + -7v + (-7 * v + v * v)) = v2 + -20v + 54
(49 + -7v + (-7v + v2)) = v2 + -20v + 54

Combine like terms: -7v + -7v = -14v
(49 + -14v + v2) = v2 + -20v + 54

Reorder the terms:
49 + -14v + v2 = 54 + -20v + v2

Add '-1v2' to each side of the equation.
49 + -14v + v2 + -1v2 = 54 + -20v + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
49 + -14v + 0 = 54 + -20v + v2 + -1v2
49 + -14v = 54 + -20v + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
49 + -14v = 54 + -20v + 0
49 + -14v = 54 + -20v

Solving
49 + -14v = 54 + -20v

Solving for variable 'v'.

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

Add '20v' to each side of the equation.
49 + -14v + 20v = 54 + -20v + 20v

Combine like terms: -14v + 20v = 6v
49 + 6v = 54 + -20v + 20v

Combine like terms: -20v + 20v = 0
49 + 6v = 54 + 0
49 + 6v = 54

Add '-49' to each side of the equation.
49 + -49 + 6v = 54 + -49

Combine like terms: 49 + -49 = 0
0 + 6v = 54 + -49
6v = 54 + -49

Combine like terms: 54 + -49 = 5
6v = 5

Divide each side by '6'.
v = 0.8333333333

Simplifying
v = 0.8333333333

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