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Simplifying 4x2 = 4 + 4k + -1k2 Solving 4x2 = 4 + 4k + -1k2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x2 = 1 + k + -0.25k2 Simplifying x2 = 1 + k + -0.25k2 Reorder the terms: -1 + -1k + 0.25k2 + x2 = 1 + k + -0.25k2 + -1 + -1k + 0.25k2 Reorder the terms: -1 + -1k + 0.25k2 + x2 = 1 + -1 + k + -1k + -0.25k2 + 0.25k2 Combine like terms: 1 + -1 = 0 -1 + -1k + 0.25k2 + x2 = 0 + k + -1k + -0.25k2 + 0.25k2 -1 + -1k + 0.25k2 + x2 = k + -1k + -0.25k2 + 0.25k2 Combine like terms: k + -1k = 0 -1 + -1k + 0.25k2 + x2 = 0 + -0.25k2 + 0.25k2 -1 + -1k + 0.25k2 + x2 = -0.25k2 + 0.25k2 Combine like terms: -0.25k2 + 0.25k2 = 0.00 -1 + -1k + 0.25k2 + x2 = 0.00 The solution to this equation could not be determined.
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