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Simplifying x5 + 4x4 + 29x3 = 0 Reorder the terms: 29x3 + 4x4 + x5 = 0 Solving 29x3 + 4x4 + x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x3'. x3(29 + 4x + x2) = 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 '(29 + 4x + x2)' equal to zero and attempt to solve: Simplifying 29 + 4x + x2 = 0 Solving 29 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 4x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + 4x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 4x + x2 = 0 + -29 4x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 4x + x2 = -29 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -29 + 4 Reorder the terms: 4 + 4x + x2 = -29 + 4 Combine like terms: -29 + 4 = -25 4 + 4x + x2 = -25 Factor a perfect square on the left side: (x + 2)(x + 2) = -25 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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