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Simplifying (p + 10)(p + -2) = (p + 4)(p + 4) + -36 Reorder the terms: (10 + p)(p + -2) = (p + 4)(p + 4) + -36 Reorder the terms: (10 + p)(-2 + p) = (p + 4)(p + 4) + -36 Multiply (10 + p) * (-2 + p) (10(-2 + p) + p(-2 + p)) = (p + 4)(p + 4) + -36 ((-2 * 10 + p * 10) + p(-2 + p)) = (p + 4)(p + 4) + -36 ((-20 + 10p) + p(-2 + p)) = (p + 4)(p + 4) + -36 (-20 + 10p + (-2 * p + p * p)) = (p + 4)(p + 4) + -36 (-20 + 10p + (-2p + p2)) = (p + 4)(p + 4) + -36 Combine like terms: 10p + -2p = 8p (-20 + 8p + p2) = (p + 4)(p + 4) + -36 Reorder the terms: -20 + 8p + p2 = (4 + p)(p + 4) + -36 Reorder the terms: -20 + 8p + p2 = (4 + p)(4 + p) + -36 Multiply (4 + p) * (4 + p) -20 + 8p + p2 = (4(4 + p) + p(4 + p)) + -36 -20 + 8p + p2 = ((4 * 4 + p * 4) + p(4 + p)) + -36 -20 + 8p + p2 = ((16 + 4p) + p(4 + p)) + -36 -20 + 8p + p2 = (16 + 4p + (4 * p + p * p)) + -36 -20 + 8p + p2 = (16 + 4p + (4p + p2)) + -36 Combine like terms: 4p + 4p = 8p -20 + 8p + p2 = (16 + 8p + p2) + -36 Reorder the terms: -20 + 8p + p2 = 16 + -36 + 8p + p2 Combine like terms: 16 + -36 = -20 -20 + 8p + p2 = -20 + 8p + p2 Add '20' to each side of the equation. -20 + 8p + 20 + p2 = -20 + 8p + 20 + p2 Reorder the terms: -20 + 20 + 8p + p2 = -20 + 8p + 20 + p2 Combine like terms: -20 + 20 = 0 0 + 8p + p2 = -20 + 8p + 20 + p2 8p + p2 = -20 + 8p + 20 + p2 Reorder the terms: 8p + p2 = -20 + 20 + 8p + p2 Combine like terms: -20 + 20 = 0 8p + p2 = 0 + 8p + p2 8p + p2 = 8p + p2 Add '-8p' to each side of the equation. 8p + -8p + p2 = 8p + -8p + p2 Combine like terms: 8p + -8p = 0 0 + p2 = 8p + -8p + p2 p2 = 8p + -8p + p2 Combine like terms: 8p + -8p = 0 p2 = 0 + p2 p2 = p2 Add '-1p2' to each side of the equation. p2 + -1p2 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 0 = p2 + -1p2 Combine like terms: p2 + -1p2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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