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Simplifying 2x2 + 24948 + -324x = 0 Reorder the terms: 24948 + -324x + 2x2 = 0 Solving 24948 + -324x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(12474 + -162x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12474 + -162x + x2)' equal to zero and attempt to solve: Simplifying 12474 + -162x + x2 = 0 Solving 12474 + -162x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12474' to each side of the equation. 12474 + -162x + -12474 + x2 = 0 + -12474 Reorder the terms: 12474 + -12474 + -162x + x2 = 0 + -12474 Combine like terms: 12474 + -12474 = 0 0 + -162x + x2 = 0 + -12474 -162x + x2 = 0 + -12474 Combine like terms: 0 + -12474 = -12474 -162x + x2 = -12474 The x term is -162x. Take half its coefficient (-81). Square it (6561) and add it to both sides. Add '6561' to each side of the equation. -162x + 6561 + x2 = -12474 + 6561 Reorder the terms: 6561 + -162x + x2 = -12474 + 6561 Combine like terms: -12474 + 6561 = -5913 6561 + -162x + x2 = -5913 Factor a perfect square on the left side: (x + -81)(x + -81) = -5913 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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