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Simplifying 4x(x + -6) = -44 Reorder the terms: 4x(-6 + x) = -44 (-6 * 4x + x * 4x) = -44 (-24x + 4x2) = -44 Solving -24x + 4x2 = -44 Solving for variable 'x'. Reorder the terms: 44 + -24x + 4x2 = -44 + 44 Combine like terms: -44 + 44 = 0 44 + -24x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(11 + -6x + x2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(11 + -6x + x2)' equal to zero and attempt to solve: Simplifying 11 + -6x + x2 = 0 Solving 11 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -6x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -6x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6x + x2 = 0 + -11 -6x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -6x + x2 = -11 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 = -11 + 9 Reorder the terms: 9 + -6x + x2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + -6x + x2 = -2 Factor a perfect square on the left side: (x + -3)(x + -3) = -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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