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Simplifying 49v2 + -63v + -10 = 0 Reorder the terms: -10 + -63v + 49v2 = 0 Solving -10 + -63v + 49v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -7v)(10 + -7v) = 0Subproblem 1
Set the factor '(-1 + -7v)' equal to zero and attempt to solve: Simplifying -1 + -7v = 0 Solving -1 + -7v = 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 + -7v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7v = 0 + 1 -7v = 0 + 1 Combine like terms: 0 + 1 = 1 -7v = 1 Divide each side by '-7'. v = -0.1428571429 Simplifying v = -0.1428571429Subproblem 2
Set the factor '(10 + -7v)' equal to zero and attempt to solve: Simplifying 10 + -7v = 0 Solving 10 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7v = 0 + -10 -7v = 0 + -10 Combine like terms: 0 + -10 = -10 -7v = -10 Divide each side by '-7'. v = 1.428571429 Simplifying v = 1.428571429Solution
v = {-0.1428571429, 1.428571429}
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