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Simplifying (x + -1)(x + 1) + -1(x + -4)(x + 4) = 0 Reorder the terms: (-1 + x)(x + 1) + -1(x + -4)(x + 4) = 0 Reorder the terms: (-1 + x)(1 + x) + -1(x + -4)(x + 4) = 0 Multiply (-1 + x) * (1 + x) (-1(1 + x) + x(1 + x)) + -1(x + -4)(x + 4) = 0 ((1 * -1 + x * -1) + x(1 + x)) + -1(x + -4)(x + 4) = 0 ((-1 + -1x) + x(1 + x)) + -1(x + -4)(x + 4) = 0 (-1 + -1x + (1 * x + x * x)) + -1(x + -4)(x + 4) = 0 (-1 + -1x + (1x + x2)) + -1(x + -4)(x + 4) = 0 Combine like terms: -1x + 1x = 0 (-1 + 0 + x2) + -1(x + -4)(x + 4) = 0 (-1 + x2) + -1(x + -4)(x + 4) = 0 Reorder the terms: -1 + x2 + -1(-4 + x)(x + 4) = 0 Reorder the terms: -1 + x2 + -1(-4 + x)(4 + x) = 0 Multiply (-4 + x) * (4 + x) -1 + x2 + -1(-4(4 + x) + x(4 + x)) = 0 -1 + x2 + -1((4 * -4 + x * -4) + x(4 + x)) = 0 -1 + x2 + -1((-16 + -4x) + x(4 + x)) = 0 -1 + x2 + -1(-16 + -4x + (4 * x + x * x)) = 0 -1 + x2 + -1(-16 + -4x + (4x + x2)) = 0 Combine like terms: -4x + 4x = 0 -1 + x2 + -1(-16 + 0 + x2) = 0 -1 + x2 + -1(-16 + x2) = 0 -1 + x2 + (-16 * -1 + x2 * -1) = 0 -1 + x2 + (16 + -1x2) = 0 Reorder the terms: -1 + 16 + x2 + -1x2 = 0 Combine like terms: -1 + 16 = 15 15 + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 15 + 0 = 0 15 = 0 Solving 15 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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