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Simplifying 8w(w + -4k + -5) = 0 Reorder the terms: 8w(-5 + -4k + w) = 0 (-5 * 8w + -4k * 8w + w * 8w) = 0 Reorder the terms: (-32kw + -40w + 8w2) = 0 (-32kw + -40w + 8w2) = 0 Solving -32kw + -40w + 8w2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40w' to each side of the equation. -32kw + -40w + 40w + 8w2 = 0 + 40w Combine like terms: -40w + 40w = 0 -32kw + 0 + 8w2 = 0 + 40w -32kw + 8w2 = 0 + 40w Remove the zero: -32kw + 8w2 = 40w Add '-8w2' to each side of the equation. -32kw + 8w2 + -8w2 = 40w + -8w2 Combine like terms: 8w2 + -8w2 = 0 -32kw + 0 = 40w + -8w2 -32kw = 40w + -8w2 Divide each side by '-32w'. k = -1.25 + 0.25w Simplifying k = -1.25 + 0.25w
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