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Simplifying 6x2 + -2x + 36 = 5x + 10x Reorder the terms: 36 + -2x + 6x2 = 5x + 10x Combine like terms: 5x + 10x = 15x 36 + -2x + 6x2 = 15x Solving 36 + -2x + 6x2 = 15x Solving for variable 'x'. Reorder the terms: 36 + -2x + -15x + 6x2 = 15x + -15x Combine like terms: -2x + -15x = -17x 36 + -17x + 6x2 = 15x + -15x Combine like terms: 15x + -15x = 0 36 + -17x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 6 + -2.833333333x + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + -2.833333333x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -2.833333333x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -2.833333333x + x2 = 0 + -6 -2.833333333x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -2.833333333x + x2 = -6 The x term is -2.833333333x. Take half its coefficient (-1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. -2.833333333x + 2.006944445 + x2 = -6 + 2.006944445 Reorder the terms: 2.006944445 + -2.833333333x + x2 = -6 + 2.006944445 Combine like terms: -6 + 2.006944445 = -3.993055555 2.006944445 + -2.833333333x + x2 = -3.993055555 Factor a perfect square on the left side: (x + -1.416666667)(x + -1.416666667) = -3.993055555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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