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Simplifying 16k2 + 72k + 81 = 16k2 + -81 Reorder the terms: 81 + 72k + 16k2 = 16k2 + -81 Reorder the terms: 81 + 72k + 16k2 = -81 + 16k2 Add '-16k2' to each side of the equation. 81 + 72k + 16k2 + -16k2 = -81 + 16k2 + -16k2 Combine like terms: 16k2 + -16k2 = 0 81 + 72k + 0 = -81 + 16k2 + -16k2 81 + 72k = -81 + 16k2 + -16k2 Combine like terms: 16k2 + -16k2 = 0 81 + 72k = -81 + 0 81 + 72k = -81 Solving 81 + 72k = -81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 72k = -81 + -81 Combine like terms: 81 + -81 = 0 0 + 72k = -81 + -81 72k = -81 + -81 Combine like terms: -81 + -81 = -162 72k = -162 Divide each side by '72'. k = -2.25 Simplifying k = -2.25
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