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Simplifying 4x2 + -24x + 52 = 0 Reorder the terms: 52 + -24x + 4x2 = 0 Solving 52 + -24x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(13 + -6x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(13 + -6x + x2)' equal to zero and attempt to solve: Simplifying 13 + -6x + x2 = 0 Solving 13 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -6x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -6x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -6x + x2 = 0 + -13 -6x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -6x + x2 = -13 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -13 + 9 Reorder the terms: 9 + -6x + x2 = -13 + 9 Combine like terms: -13 + 9 = -4 9 + -6x + x2 = -4 Factor a perfect square on the left side: (x + -3)(x + -3) = -4 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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