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Simplifying 2x2 + -28x + 480 = 0 Reorder the terms: 480 + -28x + 2x2 = 0 Solving 480 + -28x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(240 + -14x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(240 + -14x + x2)' equal to zero and attempt to solve: Simplifying 240 + -14x + x2 = 0 Solving 240 + -14x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-240' to each side of the equation. 240 + -14x + -240 + x2 = 0 + -240 Reorder the terms: 240 + -240 + -14x + x2 = 0 + -240 Combine like terms: 240 + -240 = 0 0 + -14x + x2 = 0 + -240 -14x + x2 = 0 + -240 Combine like terms: 0 + -240 = -240 -14x + x2 = -240 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -240 + 49 Reorder the terms: 49 + -14x + x2 = -240 + 49 Combine like terms: -240 + 49 = -191 49 + -14x + x2 = -191 Factor a perfect square on the left side: (x + -7)(x + -7) = -191 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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