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Simplifying (-7 + 9q)(7 + 9q) = 81q2 + -49 Multiply (-7 + 9q) * (7 + 9q) (-7(7 + 9q) + 9q * (7 + 9q)) = 81q2 + -49 ((7 * -7 + 9q * -7) + 9q * (7 + 9q)) = 81q2 + -49 ((-49 + -63q) + 9q * (7 + 9q)) = 81q2 + -49 (-49 + -63q + (7 * 9q + 9q * 9q)) = 81q2 + -49 (-49 + -63q + (63q + 81q2)) = 81q2 + -49 Combine like terms: -63q + 63q = 0 (-49 + 0 + 81q2) = 81q2 + -49 (-49 + 81q2) = 81q2 + -49 Reorder the terms: -49 + 81q2 = -49 + 81q2 Add '49' to each side of the equation. -49 + 49 + 81q2 = -49 + 49 + 81q2 Combine like terms: -49 + 49 = 0 0 + 81q2 = -49 + 49 + 81q2 81q2 = -49 + 49 + 81q2 Combine like terms: -49 + 49 = 0 81q2 = 0 + 81q2 81q2 = 81q2 Add '-81q2' to each side of the equation. 81q2 + -81q2 = 81q2 + -81q2 Combine like terms: 81q2 + -81q2 = 0 0 = 81q2 + -81q2 Combine like terms: 81q2 + -81q2 = 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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