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Simplifying -3x2 + 13x = 15 Reorder the terms: 13x + -3x2 = 15 Solving 13x + -3x2 = 15 Solving for variable 'x'. Reorder the terms: -15 + 13x + -3x2 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 13x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 5 + -4.333333333x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -4.333333333x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -4.333333333x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4.333333333x + x2 = 0 + -5 -4.333333333x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -4.333333333x + x2 = -5 The x term is -4.333333333x. Take half its coefficient (-2.166666667). Square it (4.694444446) and add it to both sides. Add '4.694444446' to each side of the equation. -4.333333333x + 4.694444446 + x2 = -5 + 4.694444446 Reorder the terms: 4.694444446 + -4.333333333x + x2 = -5 + 4.694444446 Combine like terms: -5 + 4.694444446 = -0.305555554 4.694444446 + -4.333333333x + x2 = -0.305555554 Factor a perfect square on the left side: (x + -2.166666667)(x + -2.166666667) = -0.305555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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