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Simplifying 6x5(3x4 + -3x2 + 7) = 0 Reorder the terms: 6x5(7 + -3x2 + 3x4) = 0 (7 * 6x5 + -3x2 * 6x5 + 3x4 * 6x5) = 0 (42x5 + -18x7 + 18x9) = 0 Solving 42x5 + -18x7 + 18x9 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x5'. 6x5(7 + -3x2 + 3x4) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 + -3x2 + 3x4)' equal to zero and attempt to solve: Simplifying 7 + -3x2 + 3x4 = 0 Solving 7 + -3x2 + 3x4 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.333333333 + -1x2 + x4 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -1x2 + -2.333333333 + x4 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -1x2 + x4 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -1x2 + x4 = 0 + -2.333333333 -1x2 + x4 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -1x2 + x4 = -2.333333333 The x term is -1x2. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x2 + 0.25 + x4 = -2.333333333 + 0.25 Reorder the terms: 0.25 + -1x2 + x4 = -2.333333333 + 0.25 Combine like terms: -2.333333333 + 0.25 = -2.083333333 0.25 + -1x2 + x4 = -2.083333333 Factor a perfect square on the left side: (x2 + -0.5)(x2 + -0.5) = -2.083333333 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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