4v^2-9v-28=0

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Solution for 4v^2-9v-28=0 equation:


Simplifying
4v2 + -9v + -28 = 0

Reorder the terms:
-28 + -9v + 4v2 = 0

Solving
-28 + -9v + 4v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4

Solution

v = {-1.75, 4}

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