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Simplifying -1 = 2x2 + kx + 7 Reorder the terms: -1 = 7 + kx + 2x2 Solving -1 = 7 + kx + 2x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1kx' to each side of the equation. -1 + -1kx = 7 + kx + -1kx + 2x2 Combine like terms: kx + -1kx = 0 -1 + -1kx = 7 + 0 + 2x2 -1 + -1kx = 7 + 2x2 Add '1' to each side of the equation. -1 + 1 + -1kx = 7 + 1 + 2x2 Combine like terms: -1 + 1 = 0 0 + -1kx = 7 + 1 + 2x2 -1kx = 7 + 1 + 2x2 Combine like terms: 7 + 1 = 8 -1kx = 8 + 2x2 Divide each side by '-1x'. k = -8x-1 + -2x Simplifying k = -8x-1 + -2x
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