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Simplifying 0 = -8(x + 9)(x2 + 2x + 1) Reorder the terms: 0 = -8(9 + x)(x2 + 2x + 1) Reorder the terms: 0 = -8(9 + x)(1 + 2x + x2) Multiply (9 + x) * (1 + 2x + x2) 0 = -8(9(1 + 2x + x2) + x(1 + 2x + x2)) 0 = -8((1 * 9 + 2x * 9 + x2 * 9) + x(1 + 2x + x2)) 0 = -8((9 + 18x + 9x2) + x(1 + 2x + x2)) 0 = -8(9 + 18x + 9x2 + (1 * x + 2x * x + x2 * x)) 0 = -8(9 + 18x + 9x2 + (1x + 2x2 + x3)) Reorder the terms: 0 = -8(9 + 18x + 1x + 9x2 + 2x2 + x3) Combine like terms: 18x + 1x = 19x 0 = -8(9 + 19x + 9x2 + 2x2 + x3) Combine like terms: 9x2 + 2x2 = 11x2 0 = -8(9 + 19x + 11x2 + x3) 0 = (9 * -8 + 19x * -8 + 11x2 * -8 + x3 * -8) 0 = (-72 + -152x + -88x2 + -8x3) Solving 0 = -72 + -152x + -88x2 + -8x3 Solving for variable 'x'. Combine like terms: 0 + 72 = 72 72 + 152x + 88x2 + 8x3 = -72 + -152x + -88x2 + -8x3 + 72 + 152x + 88x2 + 8x3 Reorder the terms: 72 + 152x + 88x2 + 8x3 = -72 + 72 + -152x + 152x + -88x2 + 88x2 + -8x3 + 8x3 Combine like terms: -72 + 72 = 0 72 + 152x + 88x2 + 8x3 = 0 + -152x + 152x + -88x2 + 88x2 + -8x3 + 8x3 72 + 152x + 88x2 + 8x3 = -152x + 152x + -88x2 + 88x2 + -8x3 + 8x3 Combine like terms: -152x + 152x = 0 72 + 152x + 88x2 + 8x3 = 0 + -88x2 + 88x2 + -8x3 + 8x3 72 + 152x + 88x2 + 8x3 = -88x2 + 88x2 + -8x3 + 8x3 Combine like terms: -88x2 + 88x2 = 0 72 + 152x + 88x2 + 8x3 = 0 + -8x3 + 8x3 72 + 152x + 88x2 + 8x3 = -8x3 + 8x3 Combine like terms: -8x3 + 8x3 = 0 72 + 152x + 88x2 + 8x3 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(9 + 19x + 11x2 + x3) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(9 + 19x + 11x2 + x3)' equal to zero and attempt to solve: Simplifying 9 + 19x + 11x2 + x3 = 0 Solving 9 + 19x + 11x2 + x3 = 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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