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Simplifying 3x2 + -24x + 144 = 12 Reorder the terms: 144 + -24x + 3x2 = 12 Solving 144 + -24x + 3x2 = 12 Solving for variable 'x'. Reorder the terms: 144 + -12 + -24x + 3x2 = 12 + -12 Combine like terms: 144 + -12 = 132 132 + -24x + 3x2 = 12 + -12 Combine like terms: 12 + -12 = 0 132 + -24x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(44 + -8x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(44 + -8x + x2)' equal to zero and attempt to solve: Simplifying 44 + -8x + x2 = 0 Solving 44 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-44' to each side of the equation. 44 + -8x + -44 + x2 = 0 + -44 Reorder the terms: 44 + -44 + -8x + x2 = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -8x + x2 = 0 + -44 -8x + x2 = 0 + -44 Combine like terms: 0 + -44 = -44 -8x + x2 = -44 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -44 + 16 Reorder the terms: 16 + -8x + x2 = -44 + 16 Combine like terms: -44 + 16 = -28 16 + -8x + x2 = -28 Factor a perfect square on the left side: (x + -4)(x + -4) = -28 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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