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Simplifying -6(-4x + -2 + 5)(6x + -5) = -13 Reorder the terms: -6(-2 + 5 + -4x)(6x + -5) = -13 Combine like terms: -2 + 5 = 3 -6(3 + -4x)(6x + -5) = -13 Reorder the terms: -6(3 + -4x)(-5 + 6x) = -13 Multiply (3 + -4x) * (-5 + 6x) -6(3(-5 + 6x) + -4x * (-5 + 6x)) = -13 -6((-5 * 3 + 6x * 3) + -4x * (-5 + 6x)) = -13 -6((-15 + 18x) + -4x * (-5 + 6x)) = -13 -6(-15 + 18x + (-5 * -4x + 6x * -4x)) = -13 -6(-15 + 18x + (20x + -24x2)) = -13 Combine like terms: 18x + 20x = 38x -6(-15 + 38x + -24x2) = -13 (-15 * -6 + 38x * -6 + -24x2 * -6) = -13 (90 + -228x + 144x2) = -13 Solving 90 + -228x + 144x2 = -13 Solving for variable 'x'. Reorder the terms: 90 + 13 + -228x + 144x2 = -13 + 13 Combine like terms: 90 + 13 = 103 103 + -228x + 144x2 = -13 + 13 Combine like terms: -13 + 13 = 0 103 + -228x + 144x2 = 0 Begin completing the square. Divide all terms by 144 the coefficient of the squared term: Divide each side by '144'. 0.7152777778 + -1.583333333x + x2 = 0 Move the constant term to the right: Add '-0.7152777778' to each side of the equation. 0.7152777778 + -1.583333333x + -0.7152777778 + x2 = 0 + -0.7152777778 Reorder the terms: 0.7152777778 + -0.7152777778 + -1.583333333x + x2 = 0 + -0.7152777778 Combine like terms: 0.7152777778 + -0.7152777778 = 0.0000000000 0.0000000000 + -1.583333333x + x2 = 0 + -0.7152777778 -1.583333333x + x2 = 0 + -0.7152777778 Combine like terms: 0 + -0.7152777778 = -0.7152777778 -1.583333333x + x2 = -0.7152777778 The x term is -1.583333333x. Take half its coefficient (-0.7916666665). Square it (0.6267361108) and add it to both sides. Add '0.6267361108' to each side of the equation. -1.583333333x + 0.6267361108 + x2 = -0.7152777778 + 0.6267361108 Reorder the terms: 0.6267361108 + -1.583333333x + x2 = -0.7152777778 + 0.6267361108 Combine like terms: -0.7152777778 + 0.6267361108 = -0.088541667 0.6267361108 + -1.583333333x + x2 = -0.088541667 Factor a perfect square on the left side: (x + -0.7916666665)(x + -0.7916666665) = -0.088541667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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