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Simplifying (x2 + x + 1)(x2 + -1x + -7) = 65 Reorder the terms: (1 + x + x2)(x2 + -1x + -7) = 65 Reorder the terms: (1 + x + x2)(-7 + -1x + x2) = 65 Multiply (1 + x + x2) * (-7 + -1x + x2) (1(-7 + -1x + x2) + x(-7 + -1x + x2) + x2(-7 + -1x + x2)) = 65 ((-7 * 1 + -1x * 1 + x2 * 1) + x(-7 + -1x + x2) + x2(-7 + -1x + x2)) = 65 ((-7 + -1x + 1x2) + x(-7 + -1x + x2) + x2(-7 + -1x + x2)) = 65 (-7 + -1x + 1x2 + (-7 * x + -1x * x + x2 * x) + x2(-7 + -1x + x2)) = 65 (-7 + -1x + 1x2 + (-7x + -1x2 + x3) + x2(-7 + -1x + x2)) = 65 (-7 + -1x + 1x2 + -7x + -1x2 + x3 + (-7 * x2 + -1x * x2 + x2 * x2)) = 65 (-7 + -1x + 1x2 + -7x + -1x2 + x3 + (-7x2 + -1x3 + x4)) = 65 Reorder the terms: (-7 + -1x + -7x + 1x2 + -1x2 + -7x2 + x3 + -1x3 + x4) = 65 Combine like terms: -1x + -7x = -8x (-7 + -8x + 1x2 + -1x2 + -7x2 + x3 + -1x3 + x4) = 65 Combine like terms: 1x2 + -1x2 = 0 (-7 + -8x + 0 + -7x2 + x3 + -1x3 + x4) = 65 (-7 + -8x + -7x2 + x3 + -1x3 + x4) = 65 Combine like terms: x3 + -1x3 = 0 (-7 + -8x + -7x2 + 0 + x4) = 65 (-7 + -8x + -7x2 + x4) = 65 Solving -7 + -8x + -7x2 + x4 = 65 Solving for variable 'x'. Reorder the terms: -7 + -65 + -8x + -7x2 + x4 = 65 + -65 Combine like terms: -7 + -65 = -72 -72 + -8x + -7x2 + x4 = 65 + -65 Combine like terms: 65 + -65 = 0 -72 + -8x + -7x2 + x4 = 0 The solution to this equation could not be determined.
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