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Simplifying 32x = 3x2 + 90 Reorder the terms: 32x = 90 + 3x2 Solving 32x = 90 + 3x2 Solving for variable 'x'. Reorder the terms: -90 + 32x + -3x2 = 90 + 3x2 + -90 + -3x2 Reorder the terms: -90 + 32x + -3x2 = 90 + -90 + 3x2 + -3x2 Combine like terms: 90 + -90 = 0 -90 + 32x + -3x2 = 0 + 3x2 + -3x2 -90 + 32x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -90 + 32x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 30 + -10.66666667x + x2 = 0 Move the constant term to the right: Add '-30' to each side of the equation. 30 + -10.66666667x + -30 + x2 = 0 + -30 Reorder the terms: 30 + -30 + -10.66666667x + x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -10.66666667x + x2 = 0 + -30 -10.66666667x + x2 = 0 + -30 Combine like terms: 0 + -30 = -30 -10.66666667x + x2 = -30 The x term is -10.66666667x. Take half its coefficient (-5.333333335). Square it (28.44444446) and add it to both sides. Add '28.44444446' to each side of the equation. -10.66666667x + 28.44444446 + x2 = -30 + 28.44444446 Reorder the terms: 28.44444446 + -10.66666667x + x2 = -30 + 28.44444446 Combine like terms: -30 + 28.44444446 = -1.55555554 28.44444446 + -10.66666667x + x2 = -1.55555554 Factor a perfect square on the left side: (x + -5.333333335)(x + -5.333333335) = -1.55555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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