4(v-3)(-v+7)=0

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Solution for 4(v-3)(-v+7)=0 equation:


Simplifying
4(v + -3)(-1v + 7) = 0

Reorder the terms:
4(-3 + v)(-1v + 7) = 0

Reorder the terms:
4(-3 + v)(7 + -1v) = 0

Multiply (-3 + v) * (7 + -1v)
4(-3(7 + -1v) + v(7 + -1v)) = 0
4((7 * -3 + -1v * -3) + v(7 + -1v)) = 0
4((-21 + 3v) + v(7 + -1v)) = 0
4(-21 + 3v + (7 * v + -1v * v)) = 0
4(-21 + 3v + (7v + -1v2)) = 0

Combine like terms: 3v + 7v = 10v
4(-21 + 10v + -1v2) = 0
(-21 * 4 + 10v * 4 + -1v2 * 4) = 0
(-84 + 40v + -4v2) = 0

Solving
-84 + 40v + -4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + 10v + -1v2) = 0

Factor a trinomial.
4((-7 + v)(3 + -1v)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve:

Simplifying
-7 + v = 0

Solving
-7 + v = 0

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

Add '7' to each side of the equation.
-7 + 7 + v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + v = 0 + 7
v = 0 + 7

Combine like terms: 0 + 7 = 7
v = 7

Simplifying
v = 7

Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {7, 3}

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