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Simplifying 0 = (x + -8)(x + -8)(x + 7)(x + 7)(x + 7) Reorder the terms: 0 = (-8 + x)(x + -8)(x + 7)(x + 7)(x + 7) Reorder the terms: 0 = (-8 + x)(-8 + x)(x + 7)(x + 7)(x + 7) Reorder the terms: 0 = (-8 + x)(-8 + x)(7 + x)(x + 7)(x + 7) Reorder the terms: 0 = (-8 + x)(-8 + x)(7 + x)(7 + x)(x + 7) Reorder the terms: 0 = (-8 + x)(-8 + x)(7 + x)(7 + x)(7 + x) Multiply (-8 + x) * (-8 + x) 0 = (-8(-8 + x) + x(-8 + x))(7 + x)(7 + x)(7 + x) 0 = ((-8 * -8 + x * -8) + x(-8 + x))(7 + x)(7 + x)(7 + x) 0 = ((64 + -8x) + x(-8 + x))(7 + x)(7 + x)(7 + x) 0 = (64 + -8x + (-8 * x + x * x))(7 + x)(7 + x)(7 + x) 0 = (64 + -8x + (-8x + x2))(7 + x)(7 + x)(7 + x) Combine like terms: -8x + -8x = -16x 0 = (64 + -16x + x2)(7 + x)(7 + x)(7 + x) Multiply (64 + -16x + x2) * (7 + x) 0 = (64(7 + x) + -16x * (7 + x) + x2(7 + x))(7 + x)(7 + x) 0 = ((7 * 64 + x * 64) + -16x * (7 + x) + x2(7 + x))(7 + x)(7 + x) 0 = ((448 + 64x) + -16x * (7 + x) + x2(7 + x))(7 + x)(7 + x) 0 = (448 + 64x + (7 * -16x + x * -16x) + x2(7 + x))(7 + x)(7 + x) 0 = (448 + 64x + (-112x + -16x2) + x2(7 + x))(7 + x)(7 + x) 0 = (448 + 64x + -112x + -16x2 + (7 * x2 + x * x2))(7 + x)(7 + x) 0 = (448 + 64x + -112x + -16x2 + (7x2 + x3))(7 + x)(7 + x) Combine like terms: 64x + -112x = -48x 0 = (448 + -48x + -16x2 + 7x2 + x3)(7 + x)(7 + x) Combine like terms: -16x2 + 7x2 = -9x2 0 = (448 + -48x + -9x2 + x3)(7 + x)(7 + x) Multiply (448 + -48x + -9x2 + x3) * (7 + x) 0 = (448(7 + x) + -48x * (7 + x) + -9x2 * (7 + x) + x3(7 + x))(7 + x) 0 = ((7 * 448 + x * 448) + -48x * (7 + x) + -9x2 * (7 + x) + x3(7 + x))(7 + x) 0 = ((3136 + 448x) + -48x * (7 + x) + -9x2 * (7 + x) + x3(7 + x))(7 + x) 0 = (3136 + 448x + (7 * -48x + x * -48x) + -9x2 * (7 + x) + x3(7 + x))(7 + x) 0 = (3136 + 448x + (-336x + -48x2) + -9x2 * (7 + x) + x3(7 + x))(7 + x) 0 = (3136 + 448x + -336x + -48x2 + (7 * -9x2 + x * -9x2) + x3(7 + x))(7 + x) 0 = (3136 + 448x + -336x + -48x2 + (-63x2 + -9x3) + x3(7 + x))(7 + x) 0 = (3136 + 448x + -336x + -48x2 + -63x2 + -9x3 + (7 * x3 + x * x3))(7 + x) 0 = (3136 + 448x + -336x + -48x2 + -63x2 + -9x3 + (7x3 + x4))(7 + x) Combine like terms: 448x + -336x = 112x 0 = (3136 + 112x + -48x2 + -63x2 + -9x3 + 7x3 + x4)(7 + x) Combine like terms: -48x2 + -63x2 = -111x2 0 = (3136 + 112x + -111x2 + -9x3 + 7x3 + x4)(7 + x) Combine like terms: -9x3 + 7x3 = -2x3 0 = (3136 + 112x + -111x2 + -2x3 + x4)(7 + x) Multiply (3136 + 112x + -111x2 + -2x3 + x4) * (7 + x) 0 = (3136(7 + x) + 112x * (7 + x) + -111x2 * (7 + x) + -2x3 * (7 + x) + x4(7 + x)) 0 = ((7 * 3136 + x * 3136) + 112x * (7 + x) + -111x2 * (7 + x) + -2x3 * (7 + x) + x4(7 + x)) 0 = ((21952 + 3136x) + 112x * (7 + x) + -111x2 * (7 + x) + -2x3 * (7 + x) + x4(7 + x)) 0 = (21952 + 3136x + (7 * 112x + x * 112x) + -111x2 * (7 + x) + -2x3 * (7 + x) + x4(7 + x)) 0 = (21952 + 3136x + (784x + 112x2) + -111x2 * (7 + x) + -2x3 * (7 + x) + x4(7 + x)) 0 = (21952 + 3136x + 784x + 112x2 + (7 * -111x2 + x * -111x2) + -2x3 * (7 + x) + x4(7 + x)) 0 = (21952 + 3136x + 784x + 112x2 + (-777x2 + -111x3) + -2x3 * (7 + x) + x4(7 + x)) 0 = (21952 + 3136x + 784x + 112x2 + -777x2 + -111x3 + (7 * -2x3 + x * -2x3) + x4(7 + x)) 0 = (21952 + 3136x + 784x + 112x2 + -777x2 + -111x3 + (-14x3 + -2x4) + x4(7 + x)) 0 = (21952 + 3136x + 784x + 112x2 + -777x2 + -111x3 + -14x3 + -2x4 + (7 * x4 + x * x4)) 0 = (21952 + 3136x + 784x + 112x2 + -777x2 + -111x3 + -14x3 + -2x4 + (7x4 + x5)) Combine like terms: 3136x + 784x = 3920x 0 = (21952 + 3920x + 112x2 + -777x2 + -111x3 + -14x3 + -2x4 + 7x4 + x5) Combine like terms: 112x2 + -777x2 = -665x2 0 = (21952 + 3920x + -665x2 + -111x3 + -14x3 + -2x4 + 7x4 + x5) Combine like terms: -111x3 + -14x3 = -125x3 0 = (21952 + 3920x + -665x2 + -125x3 + -2x4 + 7x4 + x5) Combine like terms: -2x4 + 7x4 = 5x4 0 = (21952 + 3920x + -665x2 + -125x3 + 5x4 + x5) Solving 0 = 21952 + 3920x + -665x2 + -125x3 + 5x4 + x5 Solving for variable 'x'. Combine like terms: 0 + -21952 = -21952 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 21952 + 3920x + -665x2 + -125x3 + 5x4 + x5 + -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 Reorder the terms: -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 21952 + -21952 + 3920x + -3920x + -665x2 + 665x2 + -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 Combine like terms: 21952 + -21952 = 0 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 0 + 3920x + -3920x + -665x2 + 665x2 + -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 3920x + -3920x + -665x2 + 665x2 + -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 Combine like terms: 3920x + -3920x = 0 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 0 + -665x2 + 665x2 + -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = -665x2 + 665x2 + -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 Combine like terms: -665x2 + 665x2 = 0 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 0 + -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = -125x3 + 125x3 + 5x4 + -5x4 + x5 + -1x5 Combine like terms: -125x3 + 125x3 = 0 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 0 + 5x4 + -5x4 + x5 + -1x5 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 5x4 + -5x4 + x5 + -1x5 Combine like terms: 5x4 + -5x4 = 0 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 0 + x5 + -1x5 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = x5 + -1x5 Combine like terms: x5 + -1x5 = 0 -21952 + -3920x + 665x2 + 125x3 + -5x4 + -1x5 = 0 The solution to this equation could not be determined.
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