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Simplifying (v + 7)(v + 7) = 0 Reorder the terms: (7 + v)(v + 7) = 0 Reorder the terms: (7 + v)(7 + v) = 0 Multiply (7 + v) * (7 + v) (7(7 + v) + v(7 + v)) = 0 ((7 * 7 + v * 7) + v(7 + v)) = 0 ((49 + 7v) + v(7 + v)) = 0 (49 + 7v + (7 * v + v * v)) = 0 (49 + 7v + (7v + v2)) = 0 Combine like terms: 7v + 7v = 14v (49 + 14v + v2) = 0 Solving 49 + 14v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + v)(7 + v) = 0Subproblem 1
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Subproblem 2
Set the factor '(7 + v)' equal to zero and attempt to solve: Simplifying 7 + v = 0 Solving 7 + v = 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 + v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + v = 0 + -7 v = 0 + -7 Combine like terms: 0 + -7 = -7 v = -7 Simplifying v = -7Solution
v = {-7, -7}
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