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Simplifying (2x + 5)(x + -3) = k Reorder the terms: (5 + 2x)(x + -3) = k Reorder the terms: (5 + 2x)(-3 + x) = k Multiply (5 + 2x) * (-3 + x) (5(-3 + x) + 2x * (-3 + x)) = k ((-3 * 5 + x * 5) + 2x * (-3 + x)) = k ((-15 + 5x) + 2x * (-3 + x)) = k (-15 + 5x + (-3 * 2x + x * 2x)) = k (-15 + 5x + (-6x + 2x2)) = k Combine like terms: 5x + -6x = -1x (-15 + -1x + 2x2) = k Solving -15 + -1x + 2x2 = k Solving for variable 'x'. Reorder the terms: -15 + -1k + -1x + 2x2 = k + -1k Combine like terms: k + -1k = 0 -15 + -1k + -1x + 2x2 = 0 The solution to this equation could not be determined.
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