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Simplifying 0 = 8a2b2c4 + 14ab3c4 + 53a2b3 Reorder the terms: 0 = 14ab3c4 + 8a2b2c4 + 53a2b3 Solving 0 = 14ab3c4 + 8a2b2c4 + 53a2b3 Solving for variable 'a'. Remove the zero: -14ab3c4 + -8a2b2c4 + -53a2b3 = 14ab3c4 + 8a2b2c4 + 53a2b3 + -14ab3c4 + -8a2b2c4 + -53a2b3 Reorder the terms: -14ab3c4 + -8a2b2c4 + -53a2b3 = 14ab3c4 + -14ab3c4 + 8a2b2c4 + -8a2b2c4 + 53a2b3 + -53a2b3 Combine like terms: 14ab3c4 + -14ab3c4 = 0 -14ab3c4 + -8a2b2c4 + -53a2b3 = 0 + 8a2b2c4 + -8a2b2c4 + 53a2b3 + -53a2b3 -14ab3c4 + -8a2b2c4 + -53a2b3 = 8a2b2c4 + -8a2b2c4 + 53a2b3 + -53a2b3 Combine like terms: 8a2b2c4 + -8a2b2c4 = 0 -14ab3c4 + -8a2b2c4 + -53a2b3 = 0 + 53a2b3 + -53a2b3 -14ab3c4 + -8a2b2c4 + -53a2b3 = 53a2b3 + -53a2b3 Combine like terms: 53a2b3 + -53a2b3 = 0 -14ab3c4 + -8a2b2c4 + -53a2b3 = 0 Factor out the Greatest Common Factor (GCF), '-1ab2'. -1ab2(14bc4 + 8ac4 + 53ab) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 '(14bc4 + 8ac4 + 53ab)' equal to zero and attempt to solve: Simplifying 14bc4 + 8ac4 + 53ab = 0 Reorder the terms: 53ab + 8ac4 + 14bc4 = 0 Solving 53ab + 8ac4 + 14bc4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-14bc4' to each side of the equation. 53ab + 8ac4 + 14bc4 + -14bc4 = 0 + -14bc4 Combine like terms: 14bc4 + -14bc4 = 0 53ab + 8ac4 + 0 = 0 + -14bc4 53ab + 8ac4 = 0 + -14bc4 Remove the zero: 53ab + 8ac4 = -14bc4 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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