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Simplifying 72x3 + 21x6 + 49x9 = 0 Solving 72x3 + 21x6 + 49x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(72 + 21x3 + 49x6) = 0Subproblem 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 '(72 + 21x3 + 49x6)' equal to zero and attempt to solve: Simplifying 72 + 21x3 + 49x6 = 0 Solving 72 + 21x3 + 49x6 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 1.469387755 + 0.4285714286x3 + x6 = 0 Move the constant term to the right: Add '-1.469387755' to each side of the equation. 1.469387755 + 0.4285714286x3 + -1.469387755 + x6 = 0 + -1.469387755 Reorder the terms: 1.469387755 + -1.469387755 + 0.4285714286x3 + x6 = 0 + -1.469387755 Combine like terms: 1.469387755 + -1.469387755 = 0.000000000 0.000000000 + 0.4285714286x3 + x6 = 0 + -1.469387755 0.4285714286x3 + x6 = 0 + -1.469387755 Combine like terms: 0 + -1.469387755 = -1.469387755 0.4285714286x3 + x6 = -1.469387755 The x term is 0.4285714286x3. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x3 + 0.04591836735 + x6 = -1.469387755 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x3 + x6 = -1.469387755 + 0.04591836735 Combine like terms: -1.469387755 + 0.04591836735 = -1.42346938765 0.04591836735 + 0.4285714286x3 + x6 = -1.42346938765 Factor a perfect square on the left side: (x3 + 0.2142857143)(x3 + 0.2142857143) = -1.42346938765 Can't calculate square root of the right side. 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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