4v^2-5v-2=-2

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Solution for 4v^2-5v-2=-2 equation:


Simplifying
4v2 + -5v + -2 = -2

Reorder the terms:
-2 + -5v + 4v2 = -2

Add '2' to each side of the equation.
-2 + -5v + 2 + 4v2 = -2 + 2

Reorder the terms:
-2 + 2 + -5v + 4v2 = -2 + 2

Combine like terms: -2 + 2 = 0
0 + -5v + 4v2 = -2 + 2
-5v + 4v2 = -2 + 2

Combine like terms: -2 + 2 = 0
-5v + 4v2 = 0

Solving
-5v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-5 + 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 '(-5 + 4v)' equal to zero and attempt to solve: Simplifying -5 + 4v = 0 Solving -5 + 4v = 0 Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4v = 0 + 5 4v = 0 + 5 Combine like terms: 0 + 5 = 5 4v = 5 Divide each side by '4'. v = 1.25 Simplifying v = 1.25

Solution

v = {0, 1.25}

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