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Simplifying 49x4y2 + -121 = (7x2y + -11)(7x2y + 11) Reorder the terms: -121 + 49x4y2 = (7x2y + -11)(7x2y + 11) Reorder the terms: -121 + 49x4y2 = (-11 + 7x2y)(7x2y + 11) Reorder the terms: -121 + 49x4y2 = (-11 + 7x2y)(11 + 7x2y) Multiply (-11 + 7x2y) * (11 + 7x2y) -121 + 49x4y2 = (-11(11 + 7x2y) + 7x2y * (11 + 7x2y)) -121 + 49x4y2 = ((11 * -11 + 7x2y * -11) + 7x2y * (11 + 7x2y)) -121 + 49x4y2 = ((-121 + -77x2y) + 7x2y * (11 + 7x2y)) -121 + 49x4y2 = (-121 + -77x2y + (11 * 7x2y + 7x2y * 7x2y)) -121 + 49x4y2 = (-121 + -77x2y + (77x2y + 49x4y2)) Combine like terms: -77x2y + 77x2y = 0 -121 + 49x4y2 = (-121 + 0 + 49x4y2) -121 + 49x4y2 = (-121 + 49x4y2) Add '121' to each side of the equation. -121 + 121 + 49x4y2 = -121 + 121 + 49x4y2 Combine like terms: -121 + 121 = 0 0 + 49x4y2 = -121 + 121 + 49x4y2 49x4y2 = -121 + 121 + 49x4y2 Combine like terms: -121 + 121 = 0 49x4y2 = 0 + 49x4y2 49x4y2 = 49x4y2 Add '-49x4y2' to each side of the equation. 49x4y2 + -49x4y2 = 49x4y2 + -49x4y2 Combine like terms: 49x4y2 + -49x4y2 = 0 0 = 49x4y2 + -49x4y2 Combine like terms: 49x4y2 + -49x4y2 = 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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