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Simplifying 3(36 + -4x2 + x4) = 0 (36 * 3 + -4x2 * 3 + x4 * 3) = 0 (108 + -12x2 + 3x4) = 0 Solving 108 + -12x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(36 + -4x2 + x4) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(36 + -4x2 + x4)' equal to zero and attempt to solve: Simplifying 36 + -4x2 + x4 = 0 Solving 36 + -4x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-36' to each side of the equation. 36 + -4x2 + -36 + x4 = 0 + -36 Reorder the terms: 36 + -36 + -4x2 + x4 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -4x2 + x4 = 0 + -36 -4x2 + x4 = 0 + -36 Combine like terms: 0 + -36 = -36 -4x2 + x4 = -36 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 = -36 + 4 Reorder the terms: 4 + -4x2 + x4 = -36 + 4 Combine like terms: -36 + 4 = -32 4 + -4x2 + x4 = -32 Factor a perfect square on the left side: (x2 + -2)(x2 + -2) = -32 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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