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Simplifying 2x2 + -78x + 1440 = 0 Reorder the terms: 1440 + -78x + 2x2 = 0 Solving 1440 + -78x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(720 + -39x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(720 + -39x + x2)' equal to zero and attempt to solve: Simplifying 720 + -39x + x2 = 0 Solving 720 + -39x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-720' to each side of the equation. 720 + -39x + -720 + x2 = 0 + -720 Reorder the terms: 720 + -720 + -39x + x2 = 0 + -720 Combine like terms: 720 + -720 = 0 0 + -39x + x2 = 0 + -720 -39x + x2 = 0 + -720 Combine like terms: 0 + -720 = -720 -39x + x2 = -720 The x term is -39x. Take half its coefficient (-19.5). Square it (380.25) and add it to both sides. Add '380.25' to each side of the equation. -39x + 380.25 + x2 = -720 + 380.25 Reorder the terms: 380.25 + -39x + x2 = -720 + 380.25 Combine like terms: -720 + 380.25 = -339.75 380.25 + -39x + x2 = -339.75 Factor a perfect square on the left side: (x + -19.5)(x + -19.5) = -339.75 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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