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Simplifying 3x3(7x2 + -2x + 7) = 0 Reorder the terms: 3x3(7 + -2x + 7x2) = 0 (7 * 3x3 + -2x * 3x3 + 7x2 * 3x3) = 0 (21x3 + -6x4 + 21x5) = 0 Solving 21x3 + -6x4 + 21x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(7 + -2x + 7x2) = 0 Ignore the factor 3.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 '(7 + -2x + 7x2)' equal to zero and attempt to solve: Simplifying 7 + -2x + 7x2 = 0 Solving 7 + -2x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2857142857x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2857142857x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2857142857x + x2 = 0 + -1 -0.2857142857x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2857142857x + x2 = -1 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -1 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -1 + 0.02040816328 Combine like terms: -1 + 0.02040816328 = -0.97959183672 0.02040816328 + -0.2857142857x + x2 = -0.97959183672 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -0.97959183672 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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