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Simplifying -4k2 + 8k + 147 = 7 Reorder the terms: 147 + 8k + -4k2 = 7 Solving 147 + 8k + -4k2 = 7 Solving for variable 'k'. Reorder the terms: 147 + -7 + 8k + -4k2 = 7 + -7 Combine like terms: 147 + -7 = 140 140 + 8k + -4k2 = 7 + -7 Combine like terms: 7 + -7 = 0 140 + 8k + -4k2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(35 + 2k + -1k2) = 0 Factor a trinomial. 4((7 + -1k)(5 + k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 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 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Subproblem 2
Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Solution
k = {7, -5}
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