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Simplifying 0 = 3x5 + 21x4 Reorder the terms: 0 = 21x4 + 3x5 Solving 0 = 21x4 + 3x5 Solving for variable 'x'. Remove the zero: -21x4 + -3x5 = 21x4 + 3x5 + -21x4 + -3x5 Reorder the terms: -21x4 + -3x5 = 21x4 + -21x4 + 3x5 + -3x5 Combine like terms: 21x4 + -21x4 = 0 -21x4 + -3x5 = 0 + 3x5 + -3x5 -21x4 + -3x5 = 3x5 + -3x5 Combine like terms: 3x5 + -3x5 = 0 -21x4 + -3x5 = 0 Factor out the Greatest Common Factor (GCF), '-3x4'. -3x4(7 + x) = 0 Ignore the factor -3.Subproblem 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-7}
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