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Simplifying (7x2 + 5x7 + 5x3)(3x2 + 2x4 + 2x9) = 0 Reorder the terms: (7x2 + 5x3 + 5x7)(3x2 + 2x4 + 2x9) = 0 Multiply (7x2 + 5x3 + 5x7) * (3x2 + 2x4 + 2x9) (7x2 * (3x2 + 2x4 + 2x9) + 5x3 * (3x2 + 2x4 + 2x9) + 5x7 * (3x2 + 2x4 + 2x9)) = 0 ((3x2 * 7x2 + 2x4 * 7x2 + 2x9 * 7x2) + 5x3 * (3x2 + 2x4 + 2x9) + 5x7 * (3x2 + 2x4 + 2x9)) = 0 ((21x4 + 14x6 + 14x11) + 5x3 * (3x2 + 2x4 + 2x9) + 5x7 * (3x2 + 2x4 + 2x9)) = 0 (21x4 + 14x6 + 14x11 + (3x2 * 5x3 + 2x4 * 5x3 + 2x9 * 5x3) + 5x7 * (3x2 + 2x4 + 2x9)) = 0 (21x4 + 14x6 + 14x11 + (15x5 + 10x7 + 10x12) + 5x7 * (3x2 + 2x4 + 2x9)) = 0 (21x4 + 14x6 + 14x11 + 15x5 + 10x7 + 10x12 + (3x2 * 5x7 + 2x4 * 5x7 + 2x9 * 5x7)) = 0 (21x4 + 14x6 + 14x11 + 15x5 + 10x7 + 10x12 + (15x9 + 10x11 + 10x16)) = 0 Reorder the terms: (21x4 + 15x5 + 14x6 + 10x7 + 15x9 + 14x11 + 10x11 + 10x12 + 10x16) = 0 Combine like terms: 14x11 + 10x11 = 24x11 (21x4 + 15x5 + 14x6 + 10x7 + 15x9 + 24x11 + 10x12 + 10x16) = 0 Solving 21x4 + 15x5 + 14x6 + 10x7 + 15x9 + 24x11 + 10x12 + 10x16 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x4'. x4(21 + 15x + 14x2 + 10x3 + 15x5 + 24x7 + 10x8 + 10x12) = 0Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(21 + 15x + 14x2 + 10x3 + 15x5 + 24x7 + 10x8 + 10x12)' equal to zero and attempt to solve: Simplifying 21 + 15x + 14x2 + 10x3 + 15x5 + 24x7 + 10x8 + 10x12 = 0 Solving 21 + 15x + 14x2 + 10x3 + 15x5 + 24x7 + 10x8 + 10x12 = 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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