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Simplifying 4x2 + -24x + 144 = 72 Reorder the terms: 144 + -24x + 4x2 = 72 Solving 144 + -24x + 4x2 = 72 Solving for variable 'x'. Reorder the terms: 144 + -72 + -24x + 4x2 = 72 + -72 Combine like terms: 144 + -72 = 72 72 + -24x + 4x2 = 72 + -72 Combine like terms: 72 + -72 = 0 72 + -24x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(18 + -6x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(18 + -6x + x2)' equal to zero and attempt to solve: Simplifying 18 + -6x + x2 = 0 Solving 18 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -6x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -6x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6x + x2 = 0 + -18 -6x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -6x + x2 = -18 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 = -18 + 9 Reorder the terms: 9 + -6x + x2 = -18 + 9 Combine like terms: -18 + 9 = -9 9 + -6x + x2 = -9 Factor a perfect square on the left side: (x + -3)(x + -3) = -9 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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