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Simplifying 5kx2 + -9x = 1 + -6x2 Solving 5kx2 + -9x = 1 + -6x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9x' to each side of the equation. 5kx2 + -9x + 9x = 1 + 9x + -6x2 Combine like terms: -9x + 9x = 0 5kx2 + 0 = 1 + 9x + -6x2 5kx2 = 1 + 9x + -6x2 Divide each side by '5x2'. k = 0.2x-2 + 1.8x-1 + -1.2 Simplifying k = 0.2x-2 + 1.8x-1 + -1.2 Reorder the terms: k = -1.2 + 0.2x-2 + 1.8x-1
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