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Simplifying 6((p + 5)(p + 5))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 Reorder the terms: 6((5 + p)(p + 5))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 Reorder the terms: 6((5 + p)(5 + p))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 Multiply (5 + p) * (5 + p) 6((5(5 + p) + p(5 + p)))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 6(((5 * 5 + p * 5) + p(5 + p)))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 6(((25 + 5p) + p(5 + p)))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 6((25 + 5p + (5 * p + p * p)))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 6((25 + 5p + (5p + p2)))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 Combine like terms: 5p + 5p = 10p 6((25 + 10p + p2))((p + 5)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 Reorder the terms: 6(25 + 10p + p2)((5 + p)(p + 5)) + -7(p + 5)(p + 5) + 2 = 0 Reorder the terms: 6(25 + 10p + p2)((5 + p)(5 + p)) + -7(p + 5)(p + 5) + 2 = 0 Multiply (5 + p) * (5 + p) 6(25 + 10p + p2)((5(5 + p) + p(5 + p))) + -7(p + 5)(p + 5) + 2 = 0 6(25 + 10p + p2)(((5 * 5 + p * 5) + p(5 + p))) + -7(p + 5)(p + 5) + 2 = 0 6(25 + 10p + p2)(((25 + 5p) + p(5 + p))) + -7(p + 5)(p + 5) + 2 = 0 6(25 + 10p + p2)((25 + 5p + (5 * p + p * p))) + -7(p + 5)(p + 5) + 2 = 0 6(25 + 10p + p2)((25 + 5p + (5p + p2))) + -7(p + 5)(p + 5) + 2 = 0 Combine like terms: 5p + 5p = 10p 6(25 + 10p + p2)((25 + 10p + p2)) + -7(p + 5)(p + 5) + 2 = 0 Multiply (25 + 10p + p2) * (25 + 10p + p2) 6(25(25 + 10p + p2) + 10p * (25 + 10p + p2) + p2(25 + 10p + p2)) + -7(p + 5)(p + 5) + 2 = 0 6((25 * 25 + 10p * 25 + p2 * 25) + 10p * (25 + 10p + p2) + p2(25 + 10p + p2)) + -7(p + 5)(p + 5) + 2 = 0 6((625 + 250p + 25p2) + 10p * (25 + 10p + p2) + p2(25 + 10p + p2)) + -7(p + 5)(p + 5) + 2 = 0 6(625 + 250p + 25p2 + (25 * 10p + 10p * 10p + p2 * 10p) + p2(25 + 10p + p2)) + -7(p + 5)(p + 5) + 2 = 0 6(625 + 250p + 25p2 + (250p + 100p2 + 10p3) + p2(25 + 10p + p2)) + -7(p + 5)(p + 5) + 2 = 0 6(625 + 250p + 25p2 + 250p + 100p2 + 10p3 + (25 * p2 + 10p * p2 + p2 * p2)) + -7(p + 5)(p + 5) + 2 = 0 6(625 + 250p + 25p2 + 250p + 100p2 + 10p3 + (25p2 + 10p3 + p4)) + -7(p + 5)(p + 5) + 2 = 0 Reorder the terms: 6(625 + 250p + 250p + 25p2 + 100p2 + 25p2 + 10p3 + 10p3 + p4) + -7(p + 5)(p + 5) + 2 = 0 Combine like terms: 250p + 250p = 500p 6(625 + 500p + 25p2 + 100p2 + 25p2 + 10p3 + 10p3 + p4) + -7(p + 5)(p + 5) + 2 = 0 Combine like terms: 25p2 + 100p2 = 125p2 6(625 + 500p + 125p2 + 25p2 + 10p3 + 10p3 + p4) + -7(p + 5)(p + 5) + 2 = 0 Combine like terms: 125p2 + 25p2 = 150p2 6(625 + 500p + 150p2 + 10p3 + 10p3 + p4) + -7(p + 5)(p + 5) + 2 = 0 Combine like terms: 10p3 + 10p3 = 20p3 6(625 + 500p + 150p2 + 20p3 + p4) + -7(p + 5)(p + 5) + 2 = 0 (625 * 6 + 500p * 6 + 150p2 * 6 + 20p3 * 6 + p4 * 6) + -7(p + 5)(p + 5) + 2 = 0 (3750 + 3000p + 900p2 + 120p3 + 6p4) + -7(p + 5)(p + 5) + 2 = 0 Reorder the terms: 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7(5 + p)(p + 5) + 2 = 0 Reorder the terms: 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7(5 + p)(5 + p) + 2 = 0 Multiply (5 + p) * (5 + p) 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7(5(5 + p) + p(5 + p)) + 2 = 0 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7((5 * 5 + p * 5) + p(5 + p)) + 2 = 0 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7((25 + 5p) + p(5 + p)) + 2 = 0 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7(25 + 5p + (5 * p + p * p)) + 2 = 0 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7(25 + 5p + (5p + p2)) + 2 = 0 Combine like terms: 5p + 5p = 10p 3750 + 3000p + 900p2 + 120p3 + 6p4 + -7(25 + 10p + p2) + 2 = 0 3750 + 3000p + 900p2 + 120p3 + 6p4 + (25 * -7 + 10p * -7 + p2 * -7) + 2 = 0 3750 + 3000p + 900p2 + 120p3 + 6p4 + (-175 + -70p + -7p2) + 2 = 0 Reorder the terms: 3750 + -175 + 2 + 3000p + -70p + 900p2 + -7p2 + 120p3 + 6p4 = 0 Combine like terms: 3750 + -175 = 3575 3575 + 2 + 3000p + -70p + 900p2 + -7p2 + 120p3 + 6p4 = 0 Combine like terms: 3575 + 2 = 3577 3577 + 3000p + -70p + 900p2 + -7p2 + 120p3 + 6p4 = 0 Combine like terms: 3000p + -70p = 2930p 3577 + 2930p + 900p2 + -7p2 + 120p3 + 6p4 = 0 Combine like terms: 900p2 + -7p2 = 893p2 3577 + 2930p + 893p2 + 120p3 + 6p4 = 0 Solving 3577 + 2930p + 893p2 + 120p3 + 6p4 = 0 Solving for variable 'p'. The solution to this equation could not be determined.
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