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Simplifying (-8x + 31)(x + 5)(x + 2) = (x + 2)(x + 5) Reorder the terms: (31 + -8x)(x + 5)(x + 2) = (x + 2)(x + 5) Reorder the terms: (31 + -8x)(5 + x)(x + 2) = (x + 2)(x + 5) Reorder the terms: (31 + -8x)(5 + x)(2 + x) = (x + 2)(x + 5) Multiply (31 + -8x) * (5 + x) (31(5 + x) + -8x * (5 + x))(2 + x) = (x + 2)(x + 5) ((5 * 31 + x * 31) + -8x * (5 + x))(2 + x) = (x + 2)(x + 5) ((155 + 31x) + -8x * (5 + x))(2 + x) = (x + 2)(x + 5) (155 + 31x + (5 * -8x + x * -8x))(2 + x) = (x + 2)(x + 5) (155 + 31x + (-40x + -8x2))(2 + x) = (x + 2)(x + 5) Combine like terms: 31x + -40x = -9x (155 + -9x + -8x2)(2 + x) = (x + 2)(x + 5) Multiply (155 + -9x + -8x2) * (2 + x) (155(2 + x) + -9x * (2 + x) + -8x2 * (2 + x)) = (x + 2)(x + 5) ((2 * 155 + x * 155) + -9x * (2 + x) + -8x2 * (2 + x)) = (x + 2)(x + 5) ((310 + 155x) + -9x * (2 + x) + -8x2 * (2 + x)) = (x + 2)(x + 5) (310 + 155x + (2 * -9x + x * -9x) + -8x2 * (2 + x)) = (x + 2)(x + 5) (310 + 155x + (-18x + -9x2) + -8x2 * (2 + x)) = (x + 2)(x + 5) (310 + 155x + -18x + -9x2 + (2 * -8x2 + x * -8x2)) = (x + 2)(x + 5) (310 + 155x + -18x + -9x2 + (-16x2 + -8x3)) = (x + 2)(x + 5) Combine like terms: 155x + -18x = 137x (310 + 137x + -9x2 + -16x2 + -8x3) = (x + 2)(x + 5) Combine like terms: -9x2 + -16x2 = -25x2 (310 + 137x + -25x2 + -8x3) = (x + 2)(x + 5) Reorder the terms: 310 + 137x + -25x2 + -8x3 = (2 + x)(x + 5) Reorder the terms: 310 + 137x + -25x2 + -8x3 = (2 + x)(5 + x) Multiply (2 + x) * (5 + x) 310 + 137x + -25x2 + -8x3 = (2(5 + x) + x(5 + x)) 310 + 137x + -25x2 + -8x3 = ((5 * 2 + x * 2) + x(5 + x)) 310 + 137x + -25x2 + -8x3 = ((10 + 2x) + x(5 + x)) 310 + 137x + -25x2 + -8x3 = (10 + 2x + (5 * x + x * x)) 310 + 137x + -25x2 + -8x3 = (10 + 2x + (5x + x2)) Combine like terms: 2x + 5x = 7x 310 + 137x + -25x2 + -8x3 = (10 + 7x + x2) Solving 310 + 137x + -25x2 + -8x3 = 10 + 7x + x2 Solving for variable 'x'. Reorder the terms: 310 + -10 + 137x + -7x + -25x2 + -1x2 + -8x3 = 10 + 7x + x2 + -10 + -7x + -1x2 Combine like terms: 310 + -10 = 300 300 + 137x + -7x + -25x2 + -1x2 + -8x3 = 10 + 7x + x2 + -10 + -7x + -1x2 Combine like terms: 137x + -7x = 130x 300 + 130x + -25x2 + -1x2 + -8x3 = 10 + 7x + x2 + -10 + -7x + -1x2 Combine like terms: -25x2 + -1x2 = -26x2 300 + 130x + -26x2 + -8x3 = 10 + 7x + x2 + -10 + -7x + -1x2 Reorder the terms: 300 + 130x + -26x2 + -8x3 = 10 + -10 + 7x + -7x + x2 + -1x2 Combine like terms: 10 + -10 = 0 300 + 130x + -26x2 + -8x3 = 0 + 7x + -7x + x2 + -1x2 300 + 130x + -26x2 + -8x3 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 300 + 130x + -26x2 + -8x3 = 0 + x2 + -1x2 300 + 130x + -26x2 + -8x3 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 300 + 130x + -26x2 + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(150 + 65x + -13x2 + -4x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(150 + 65x + -13x2 + -4x3)' equal to zero and attempt to solve: Simplifying 150 + 65x + -13x2 + -4x3 = 0 Solving 150 + 65x + -13x2 + -4x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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