-7v-3=4v^2

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Solution for -7v-3=4v^2 equation:


Simplifying
-7v + -3 = 4v2

Reorder the terms:
-3 + -7v = 4v2

Solving
-3 + -7v = 4v2

Solving for variable 'v'.

Combine like terms: 4v2 + -4v2 = 0
-3 + -7v + -4v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 7v + 4v2) = 0

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

Ignore the factor -1.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 4v)' equal to zero and attempt to solve: Simplifying 3 + 4v = 0 Solving 3 + 4v = 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 + 4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4v = 0 + -3 4v = 0 + -3 Combine like terms: 0 + -3 = -3 4v = -3 Divide each side by '4'. v = -0.75 Simplifying v = -0.75

Solution

v = {-1, -0.75}

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