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Simplifying 0 = 30x5 + 32x3 Reorder the terms: 0 = 32x3 + 30x5 Solving 0 = 32x3 + 30x5 Solving for variable 'x'. Remove the zero: -32x3 + -30x5 = 32x3 + 30x5 + -32x3 + -30x5 Reorder the terms: -32x3 + -30x5 = 32x3 + -32x3 + 30x5 + -30x5 Combine like terms: 32x3 + -32x3 = 0 -32x3 + -30x5 = 0 + 30x5 + -30x5 -32x3 + -30x5 = 30x5 + -30x5 Combine like terms: 30x5 + -30x5 = 0 -32x3 + -30x5 = 0 Factor out the Greatest Common Factor (GCF), '-2x3'. -2x3(16 + 15x2) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 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 '(16 + 15x2)' equal to zero and attempt to solve: Simplifying 16 + 15x2 = 0 Solving 16 + 15x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 15x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 15x2 = 0 + -16 15x2 = 0 + -16 Combine like terms: 0 + -16 = -16 15x2 = -16 Divide each side by '15'. x2 = -1.066666667 Simplifying x2 = -1.066666667 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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