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Simplifying 1(x2 + 7x + 12) = ((x + 4) + (7x + 21))(x2 + 7x + 12) Reorder the terms: 1(12 + 7x + x2) = ((x + 4) + (7x + 21))(x2 + 7x + 12) (12 * 1 + 7x * 1 + x2 * 1) = ((x + 4) + (7x + 21))(x2 + 7x + 12) (12 + 7x + 1x2) = ((x + 4) + (7x + 21))(x2 + 7x + 12) Reorder the terms: 12 + 7x + 1x2 = ((4 + x) + (7x + 21))(x2 + 7x + 12) Remove parenthesis around (4 + x) 12 + 7x + 1x2 = (4 + x + (7x + 21))(x2 + 7x + 12) Reorder the terms: 12 + 7x + 1x2 = (4 + x + (21 + 7x))(x2 + 7x + 12) Remove parenthesis around (21 + 7x) 12 + 7x + 1x2 = (4 + x + 21 + 7x)(x2 + 7x + 12) Reorder the terms: 12 + 7x + 1x2 = (4 + 21 + x + 7x)(x2 + 7x + 12) Combine like terms: 4 + 21 = 25 12 + 7x + 1x2 = (25 + x + 7x)(x2 + 7x + 12) Combine like terms: x + 7x = 8x 12 + 7x + 1x2 = (25 + 8x)(x2 + 7x + 12) Reorder the terms: 12 + 7x + 1x2 = (25 + 8x)(12 + 7x + x2) Multiply (25 + 8x) * (12 + 7x + x2) 12 + 7x + 1x2 = (25(12 + 7x + x2) + 8x * (12 + 7x + x2)) 12 + 7x + 1x2 = ((12 * 25 + 7x * 25 + x2 * 25) + 8x * (12 + 7x + x2)) 12 + 7x + 1x2 = ((300 + 175x + 25x2) + 8x * (12 + 7x + x2)) 12 + 7x + 1x2 = (300 + 175x + 25x2 + (12 * 8x + 7x * 8x + x2 * 8x)) 12 + 7x + 1x2 = (300 + 175x + 25x2 + (96x + 56x2 + 8x3)) Reorder the terms: 12 + 7x + 1x2 = (300 + 175x + 96x + 25x2 + 56x2 + 8x3) Combine like terms: 175x + 96x = 271x 12 + 7x + 1x2 = (300 + 271x + 25x2 + 56x2 + 8x3) Combine like terms: 25x2 + 56x2 = 81x2 12 + 7x + 1x2 = (300 + 271x + 81x2 + 8x3) Solving 12 + 7x + 1x2 = 300 + 271x + 81x2 + 8x3 Solving for variable 'x'. Reorder the terms: 12 + -300 + 7x + -271x + 1x2 + -81x2 + -8x3 = 300 + 271x + 81x2 + 8x3 + -300 + -271x + -81x2 + -8x3 Combine like terms: 12 + -300 = -288 -288 + 7x + -271x + 1x2 + -81x2 + -8x3 = 300 + 271x + 81x2 + 8x3 + -300 + -271x + -81x2 + -8x3 Combine like terms: 7x + -271x = -264x -288 + -264x + 1x2 + -81x2 + -8x3 = 300 + 271x + 81x2 + 8x3 + -300 + -271x + -81x2 + -8x3 Combine like terms: 1x2 + -81x2 = -80x2 -288 + -264x + -80x2 + -8x3 = 300 + 271x + 81x2 + 8x3 + -300 + -271x + -81x2 + -8x3 Reorder the terms: -288 + -264x + -80x2 + -8x3 = 300 + -300 + 271x + -271x + 81x2 + -81x2 + 8x3 + -8x3 Combine like terms: 300 + -300 = 0 -288 + -264x + -80x2 + -8x3 = 0 + 271x + -271x + 81x2 + -81x2 + 8x3 + -8x3 -288 + -264x + -80x2 + -8x3 = 271x + -271x + 81x2 + -81x2 + 8x3 + -8x3 Combine like terms: 271x + -271x = 0 -288 + -264x + -80x2 + -8x3 = 0 + 81x2 + -81x2 + 8x3 + -8x3 -288 + -264x + -80x2 + -8x3 = 81x2 + -81x2 + 8x3 + -8x3 Combine like terms: 81x2 + -81x2 = 0 -288 + -264x + -80x2 + -8x3 = 0 + 8x3 + -8x3 -288 + -264x + -80x2 + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -288 + -264x + -80x2 + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '-8'. -8(36 + 33x + 10x2 + x3) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(36 + 33x + 10x2 + x3)' equal to zero and attempt to solve: Simplifying 36 + 33x + 10x2 + x3 = 0 Solving 36 + 33x + 10x2 + 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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