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Simplifying 3x4 + 18 = 12x2 Reorder the terms: 18 + 3x4 = 12x2 Solving 18 + 3x4 = 12x2 Solving for variable 'x'. Reorder the terms: 18 + -12x2 + 3x4 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 18 + -12x2 + 3x4 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -4x2 + x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -4x2 + x4)' equal to zero and attempt to solve: Simplifying 6 + -4x2 + x4 = 0 Solving 6 + -4x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4x2 + -6 + x4 = 0 + -6 Reorder the terms: 6 + -6 + -4x2 + x4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4x2 + x4 = 0 + -6 -4x2 + x4 = 0 + -6 Combine like terms: 0 + -6 = -6 -4x2 + x4 = -6 The x term is -4x2. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x2 + 4 + x4 = -6 + 4 Reorder the terms: 4 + -4x2 + x4 = -6 + 4 Combine like terms: -6 + 4 = -2 4 + -4x2 + x4 = -2 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -2 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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