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Simplifying 7(4y2 + -4y + 7) + -3(5y2 + -2y + 3) = 0 Reorder the terms: 7(7 + -4y + 4y2) + -3(5y2 + -2y + 3) = 0 (7 * 7 + -4y * 7 + 4y2 * 7) + -3(5y2 + -2y + 3) = 0 (49 + -28y + 28y2) + -3(5y2 + -2y + 3) = 0 Reorder the terms: 49 + -28y + 28y2 + -3(3 + -2y + 5y2) = 0 49 + -28y + 28y2 + (3 * -3 + -2y * -3 + 5y2 * -3) = 0 49 + -28y + 28y2 + (-9 + 6y + -15y2) = 0 Reorder the terms: 49 + -9 + -28y + 6y + 28y2 + -15y2 = 0 Combine like terms: 49 + -9 = 40 40 + -28y + 6y + 28y2 + -15y2 = 0 Combine like terms: -28y + 6y = -22y 40 + -22y + 28y2 + -15y2 = 0 Combine like terms: 28y2 + -15y2 = 13y2 40 + -22y + 13y2 = 0 Solving 40 + -22y + 13y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 3.076923077 + -1.692307692y + y2 = 0 Move the constant term to the right: Add '-3.076923077' to each side of the equation. 3.076923077 + -1.692307692y + -3.076923077 + y2 = 0 + -3.076923077 Reorder the terms: 3.076923077 + -3.076923077 + -1.692307692y + y2 = 0 + -3.076923077 Combine like terms: 3.076923077 + -3.076923077 = 0.000000000 0.000000000 + -1.692307692y + y2 = 0 + -3.076923077 -1.692307692y + y2 = 0 + -3.076923077 Combine like terms: 0 + -3.076923077 = -3.076923077 -1.692307692y + y2 = -3.076923077 The y term is -1.692307692y. Take half its coefficient (-0.846153846). Square it (0.7159763311) and add it to both sides. Add '0.7159763311' to each side of the equation. -1.692307692y + 0.7159763311 + y2 = -3.076923077 + 0.7159763311 Reorder the terms: 0.7159763311 + -1.692307692y + y2 = -3.076923077 + 0.7159763311 Combine like terms: -3.076923077 + 0.7159763311 = -2.3609467459 0.7159763311 + -1.692307692y + y2 = -2.3609467459 Factor a perfect square on the left side: (y + -0.846153846)(y + -0.846153846) = -2.3609467459 Can't calculate square root of the right side. The solution to this equation could not be determined.
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