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Simplifying u4 + -2u2 + -8 = (u2 + -4)(u2 + 2) Reorder the terms: -8 + -2u2 + u4 = (u2 + -4)(u2 + 2) Reorder the terms: -8 + -2u2 + u4 = (-4 + u2)(u2 + 2) Reorder the terms: -8 + -2u2 + u4 = (-4 + u2)(2 + u2) Multiply (-4 + u2) * (2 + u2) -8 + -2u2 + u4 = (-4(2 + u2) + u2(2 + u2)) -8 + -2u2 + u4 = ((2 * -4 + u2 * -4) + u2(2 + u2)) -8 + -2u2 + u4 = ((-8 + -4u2) + u2(2 + u2)) -8 + -2u2 + u4 = (-8 + -4u2 + (2 * u2 + u2 * u2)) -8 + -2u2 + u4 = (-8 + -4u2 + (2u2 + u4)) Combine like terms: -4u2 + 2u2 = -2u2 -8 + -2u2 + u4 = (-8 + -2u2 + u4) Add '8' to each side of the equation. -8 + -2u2 + 8 + u4 = -8 + -2u2 + 8 + u4 Reorder the terms: -8 + 8 + -2u2 + u4 = -8 + -2u2 + 8 + u4 Combine like terms: -8 + 8 = 0 0 + -2u2 + u4 = -8 + -2u2 + 8 + u4 -2u2 + u4 = -8 + -2u2 + 8 + u4 Reorder the terms: -2u2 + u4 = -8 + 8 + -2u2 + u4 Combine like terms: -8 + 8 = 0 -2u2 + u4 = 0 + -2u2 + u4 -2u2 + u4 = -2u2 + u4 Add '2u2' to each side of the equation. -2u2 + 2u2 + u4 = -2u2 + 2u2 + u4 Combine like terms: -2u2 + 2u2 = 0 0 + u4 = -2u2 + 2u2 + u4 u4 = -2u2 + 2u2 + u4 Combine like terms: -2u2 + 2u2 = 0 u4 = 0 + u4 u4 = u4 Add '-1u4' to each side of the equation. u4 + -1u4 = u4 + -1u4 Combine like terms: u4 + -1u4 = 0 0 = u4 + -1u4 Combine like terms: u4 + -1u4 = 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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