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Simplifying 5x(5x + -12) = -72 Reorder the terms: 5x(-12 + 5x) = -72 (-12 * 5x + 5x * 5x) = -72 (-60x + 25x2) = -72 Solving -60x + 25x2 = -72 Solving for variable 'x'. Reorder the terms: 72 + -60x + 25x2 = -72 + 72 Combine like terms: -72 + 72 = 0 72 + -60x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 2.88 + -2.4x + x2 = 0 Move the constant term to the right: Add '-2.88' to each side of the equation. 2.88 + -2.4x + -2.88 + x2 = 0 + -2.88 Reorder the terms: 2.88 + -2.88 + -2.4x + x2 = 0 + -2.88 Combine like terms: 2.88 + -2.88 = 0.00 0.00 + -2.4x + x2 = 0 + -2.88 -2.4x + x2 = 0 + -2.88 Combine like terms: 0 + -2.88 = -2.88 -2.4x + x2 = -2.88 The x term is -2.4x. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4x + 1.44 + x2 = -2.88 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -2.88 + 1.44 Combine like terms: -2.88 + 1.44 = -1.44 1.44 + -2.4x + x2 = -1.44 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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