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Simplifying (6x + 6x)(4x + 3w + -5) = 0 Combine like terms: 6x + 6x = 12x (12x)(4x + 3w + -5) = 0 Remove parenthesis around (12x) 12x(4x + 3w + -5) = 0 Reorder the terms: 12x(-5 + 3w + 4x) = 0 (-5 * 12x + 3w * 12x + 4x * 12x) = 0 Reorder the terms: (36wx + -60x + 48x2) = 0 (36wx + -60x + 48x2) = 0 Solving 36wx + -60x + 48x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '60x' to each side of the equation. 36wx + -60x + 60x + 48x2 = 0 + 60x Combine like terms: -60x + 60x = 0 36wx + 0 + 48x2 = 0 + 60x 36wx + 48x2 = 0 + 60x Remove the zero: 36wx + 48x2 = 60x Add '-48x2' to each side of the equation. 36wx + 48x2 + -48x2 = 60x + -48x2 Combine like terms: 48x2 + -48x2 = 0 36wx + 0 = 60x + -48x2 36wx = 60x + -48x2 Divide each side by '36x'. w = 1.666666667 + -1.333333333x Simplifying w = 1.666666667 + -1.333333333x
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