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Simplifying kx2 + -1(3k + 2) * x + 7 = 0 Reorder the terms: kx2 + -1(2 + 3k) * x + 7 = 0 Reorder the terms for easier multiplication: kx2 + -1x(2 + 3k) + 7 = 0 kx2 + (2 * -1x + 3k * -1x) + 7 = 0 Reorder the terms: kx2 + (-3kx + -2x) + 7 = 0 kx2 + (-3kx + -2x) + 7 = 0 Reorder the terms: 7 + -3kx + kx2 + -2x = 0 Solving 7 + -3kx + kx2 + -2x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3kx + kx2 + -7 + -2x = 0 + -7 Reorder the terms: 7 + -7 + -3kx + kx2 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3kx + kx2 + -2x = 0 + -7 -3kx + kx2 + -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -3kx + kx2 + -2x = -7 Add '2x' to each side of the equation. -3kx + kx2 + -2x + 2x = -7 + 2x Combine like terms: -2x + 2x = 0 -3kx + kx2 + 0 = -7 + 2x -3kx + kx2 = -7 + 2x Reorder the terms: 7 + -3kx + kx2 + -2x = -7 + 2x + 7 + -2x Reorder the terms: 7 + -3kx + kx2 + -2x = -7 + 7 + 2x + -2x Combine like terms: -7 + 7 = 0 7 + -3kx + kx2 + -2x = 0 + 2x + -2x 7 + -3kx + kx2 + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 7 + -3kx + kx2 + -2x = 0 The solution to this equation could not be determined.
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