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Simplifying 5x2 + -20x + 65 = 0 Reorder the terms: 65 + -20x + 5x2 = 0 Solving 65 + -20x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(13 + -4x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(13 + -4x + x2)' equal to zero and attempt to solve: Simplifying 13 + -4x + x2 = 0 Solving 13 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -4x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -4x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x + x2 = 0 + -13 -4x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -4x + x2 = -13 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -13 + 4 Reorder the terms: 4 + -4x + x2 = -13 + 4 Combine like terms: -13 + 4 = -9 4 + -4x + x2 = -9 Factor a perfect square on the left side: (x + -2)(x + -2) = -9 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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