-4v^2=7v

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Solution for -4v^2=7v equation:


Simplifying
-4v2 = 7v

Solving
-4v2 = 7v

Solving for variable 'v'.

Reorder the terms:
-7v + -4v2 = 7v + -7v

Combine like terms: 7v + -7v = 0
-7v + -4v2 = 0

Factor out the Greatest Common Factor (GCF), '-1v'.
-1v(7 + 4v) = 0

Ignore the factor -1.

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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