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Simplifying 4k2 + 28kr + 49r2 = 0 Reorder the terms: 28kr + 4k2 + 49r2 = 0 Solving 28kr + 4k2 + 49r2 = 0 Solving for variable 'k'. Factor a trinomial. (2k + 7r)(2k + 7r) = 0Subproblem 1
Set the factor '(2k + 7r)' equal to zero and attempt to solve: Simplifying 2k + 7r = 0 Solving 2k + 7r = 0 Move all terms containing k to the left, all other terms to the right. Add '-7r' to each side of the equation. 2k + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 2k + 0 = 0 + -7r 2k = 0 + -7r Remove the zero: 2k = -7r Divide each side by '2'. k = -3.5r Simplifying k = -3.5rSubproblem 2
Set the factor '(2k + 7r)' equal to zero and attempt to solve: Simplifying 2k + 7r = 0 Solving 2k + 7r = 0 Move all terms containing k to the left, all other terms to the right. Add '-7r' to each side of the equation. 2k + 7r + -7r = 0 + -7r Combine like terms: 7r + -7r = 0 2k + 0 = 0 + -7r 2k = 0 + -7r Remove the zero: 2k = -7r Divide each side by '2'. k = -3.5r Simplifying k = -3.5rSolution
k = {-3.5r, -3.5r}
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