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Simplifying -12x2 + 25x = 84 Reorder the terms: 25x + -12x2 = 84 Solving 25x + -12x2 = 84 Solving for variable 'x'. Reorder the terms: -84 + 25x + -12x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 25x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 7 + -2.083333333x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2.083333333x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2.083333333x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2.083333333x + x2 = 0 + -7 -2.083333333x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2.083333333x + x2 = -7 The x term is -2.083333333x. Take half its coefficient (-1.041666667). Square it (1.085069445) and add it to both sides. Add '1.085069445' to each side of the equation. -2.083333333x + 1.085069445 + x2 = -7 + 1.085069445 Reorder the terms: 1.085069445 + -2.083333333x + x2 = -7 + 1.085069445 Combine like terms: -7 + 1.085069445 = -5.914930555 1.085069445 + -2.083333333x + x2 = -5.914930555 Factor a perfect square on the left side: (x + -1.041666667)(x + -1.041666667) = -5.914930555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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