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Simplifying 2x2 + -24x + 540 = 0 Reorder the terms: 540 + -24x + 2x2 = 0 Solving 540 + -24x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(270 + -12x + x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(270 + -12x + x2)' equal to zero and attempt to solve: Simplifying 270 + -12x + x2 = 0 Solving 270 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-270' to each side of the equation. 270 + -12x + -270 + x2 = 0 + -270 Reorder the terms: 270 + -270 + -12x + x2 = 0 + -270 Combine like terms: 270 + -270 = 0 0 + -12x + x2 = 0 + -270 -12x + x2 = 0 + -270 Combine like terms: 0 + -270 = -270 -12x + x2 = -270 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -270 + 36 Reorder the terms: 36 + -12x + x2 = -270 + 36 Combine like terms: -270 + 36 = -234 36 + -12x + x2 = -234 Factor a perfect square on the left side: (x + -6)(x + -6) = -234 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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