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Simplifying 6x2 + -3kx + 5 = 0 Reorder the terms: 5 + -3kx + 6x2 = 0 Solving 5 + -3kx + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -3kx + -5 + 6x2 = 0 + -5 Reorder the terms: 5 + -5 + -3kx + 6x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3kx + 6x2 = 0 + -5 -3kx + 6x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3kx + 6x2 = -5 Add '-6x2' to each side of the equation. -3kx + 6x2 + -6x2 = -5 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -3kx + 0 = -5 + -6x2 -3kx = -5 + -6x2 Divide each side by '-3x'. k = 1.666666667x-1 + 2x Simplifying k = 1.666666667x-1 + 2x
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