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Simplifying 9x2 + -1(k + 1) * x + 1 = 0 Reorder the terms: 9x2 + -1(1 + k) * x + 1 = 0 Reorder the terms for easier multiplication: 9x2 + -1x(1 + k) + 1 = 0 9x2 + (1 * -1x + k * -1x) + 1 = 0 Reorder the terms: 9x2 + (-1kx + -1x) + 1 = 0 9x2 + (-1kx + -1x) + 1 = 0 Reorder the terms: 1 + -1kx + -1x + 9x2 = 0 Solving 1 + -1kx + -1x + 9x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1kx + -1x + -1 + 9x2 = 0 + -1 Reorder the terms: 1 + -1 + -1kx + -1x + 9x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1kx + -1x + 9x2 = 0 + -1 -1kx + -1x + 9x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1kx + -1x + 9x2 = -1 Add 'x' to each side of the equation. -1kx + -1x + x + 9x2 = -1 + x Combine like terms: -1x + x = 0 -1kx + 0 + 9x2 = -1 + x -1kx + 9x2 = -1 + x Add '-9x2' to each side of the equation. -1kx + 9x2 + -9x2 = -1 + x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -1kx + 0 = -1 + x + -9x2 -1kx = -1 + x + -9x2 Divide each side by '-1x'. k = x-1 + -1 + 9x Simplifying k = x-1 + -1 + 9x Reorder the terms: k = -1 + x-1 + 9x
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