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Simplifying 6x6 + -12x5 + 288x4 = 0 Reorder the terms: 288x4 + -12x5 + 6x6 = 0 Solving 288x4 + -12x5 + 6x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x4'. 6x4(48 + -2x + x2) = 0 Ignore the factor 6.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 '(48 + -2x + x2)' equal to zero and attempt to solve: Simplifying 48 + -2x + x2 = 0 Solving 48 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -2x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -2x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -2x + x2 = 0 + -48 -2x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -2x + x2 = -48 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -48 + 1 Reorder the terms: 1 + -2x + x2 = -48 + 1 Combine like terms: -48 + 1 = -47 1 + -2x + x2 = -47 Factor a perfect square on the left side: (x + -1)(x + -1) = -47 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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