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Simplifying 72x3 + 42x2 + 63x = 0 Reorder the terms: 63x + 42x2 + 72x3 = 0 Solving 63x + 42x2 + 72x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(21 + 14x + 24x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(21 + 14x + 24x2)' equal to zero and attempt to solve: Simplifying 21 + 14x + 24x2 = 0 Solving 21 + 14x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.875 + 0.5833333333x + x2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 0.5833333333x + -0.875 + x2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 0.5833333333x + x2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 0.5833333333x + x2 = 0 + -0.875 0.5833333333x + x2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 0.5833333333x + x2 = -0.875 The x term is 0.5833333333x. Take half its coefficient (0.2916666667). Square it (0.08506944446) and add it to both sides. Add '0.08506944446' to each side of the equation. 0.5833333333x + 0.08506944446 + x2 = -0.875 + 0.08506944446 Reorder the terms: 0.08506944446 + 0.5833333333x + x2 = -0.875 + 0.08506944446 Combine like terms: -0.875 + 0.08506944446 = -0.78993055554 0.08506944446 + 0.5833333333x + x2 = -0.78993055554 Factor a perfect square on the left side: (x + 0.2916666667)(x + 0.2916666667) = -0.78993055554 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.Solution
x = {0}
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