7v^2-4v-13=-10

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Solution for 7v^2-4v-13=-10 equation:


Simplifying
7v2 + -4v + -13 = -10

Reorder the terms:
-13 + -4v + 7v2 = -10

Solving
-13 + -4v + 7v2 = -10

Solving for variable 'v'.

Reorder the terms:
-13 + 10 + -4v + 7v2 = -10 + 10

Combine like terms: -13 + 10 = -3
-3 + -4v + 7v2 = -10 + 10

Combine like terms: -10 + 10 = 0
-3 + -4v + 7v2 = 0

Factor a trinomial.
(-3 + -7v)(1 + -1v) = 0

Subproblem 1

Set the factor '(-3 + -7v)' equal to zero and attempt to solve: Simplifying -3 + -7v = 0 Solving -3 + -7v = 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 + -7v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7v = 0 + 3 -7v = 0 + 3 Combine like terms: 0 + 3 = 3 -7v = 3 Divide each side by '-7'. v = -0.4285714286 Simplifying v = -0.4285714286

Subproblem 2

Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 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 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1

Solution

v = {-0.4285714286, 1}

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