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Simplifying -1440000 + 2x2 + -1406x4 = 0 Solving -1440000 + 2x2 + -1406x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-720000 + x2 + -703x4) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-720000 + x2 + -703x4)' equal to zero and attempt to solve: Simplifying -720000 + x2 + -703x4 = 0 Solving -720000 + x2 + -703x4 = 0 Begin completing the square. Divide all terms by -703 the coefficient of the squared term: Divide each side by '-703'. 1024.182077 + -0.001422475107x2 + x4 = 0 Move the constant term to the right: Add '-1024.182077' to each side of the equation. 1024.182077 + -0.001422475107x2 + -1024.182077 + x4 = 0 + -1024.182077 Reorder the terms: 1024.182077 + -1024.182077 + -0.001422475107x2 + x4 = 0 + -1024.182077 Combine like terms: 1024.182077 + -1024.182077 = 0.000000 0.000000 + -0.001422475107x2 + x4 = 0 + -1024.182077 -0.001422475107x2 + x4 = 0 + -1024.182077 Combine like terms: 0 + -1024.182077 = -1024.182077 -0.001422475107x2 + x4 = -1024.182077 The x term is x2. 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. -0.001422475107x2 + 0.25 + x4 = -1024.182077 + 0.25 Reorder the terms: 0.25 + -0.001422475107x2 + x4 = -1024.182077 + 0.25 Combine like terms: -1024.182077 + 0.25 = -1023.932077 0.25 + -0.001422475107x2 + x4 = -1023.932077 Factor a perfect square on the left side: (x2 + 0.5)(x2 + 0.5) = -1023.932077 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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