(4v-7)(2v-v)=0

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Solution for (4v-7)(2v-v)=0 equation:


Simplifying
(4v + -7)(2v + -1v) = 0

Reorder the terms:
(-7 + 4v)(2v + -1v) = 0

Combine like terms: 2v + -1v = 1v
(-7 + 4v)(1v) = 0

Remove parenthesis around (1v)
(-7 + 4v) * 1v = 0

Reorder the terms for easier multiplication:
1v(-7 + 4v) = 0
(-7 * 1v + 4v * 1v) = 0
(-7v + 4v2) = 0

Solving
-7v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-7 + 4v) = 0

Subproblem 1

Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0

Subproblem 2

Set the factor '(-7 + 4v)' equal to zero and attempt to solve: Simplifying -7 + 4v = 0 Solving -7 + 4v = 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 + 4v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4v = 0 + 7 4v = 0 + 7 Combine like terms: 0 + 7 = 7 4v = 7 Divide each side by '4'. v = 1.75 Simplifying v = 1.75

Solution

v = {0, 1.75}

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