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Simplifying 4k2 = -35k + -49 Reorder the terms: 4k2 = -49 + -35k Solving 4k2 = -49 + -35k Solving for variable 'k'. Reorder the terms: 49 + 35k + 4k2 = -49 + -35k + 49 + 35k Reorder the terms: 49 + 35k + 4k2 = -49 + 49 + -35k + 35k Combine like terms: -49 + 49 = 0 49 + 35k + 4k2 = 0 + -35k + 35k 49 + 35k + 4k2 = -35k + 35k Combine like terms: -35k + 35k = 0 49 + 35k + 4k2 = 0 Factor a trinomial. (7 + k)(7 + 4k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
Set the factor '(7 + 4k)' equal to zero and attempt to solve: Simplifying 7 + 4k = 0 Solving 7 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4k = 0 + -7 4k = 0 + -7 Combine like terms: 0 + -7 = -7 4k = -7 Divide each side by '4'. k = -1.75 Simplifying k = -1.75Solution
k = {-7, -1.75}
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