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Simplifying 7(3y + -5) + -2(10 + 4y2) = 0 Reorder the terms: 7(-5 + 3y) + -2(10 + 4y2) = 0 (-5 * 7 + 3y * 7) + -2(10 + 4y2) = 0 (-35 + 21y) + -2(10 + 4y2) = 0 -35 + 21y + (10 * -2 + 4y2 * -2) = 0 -35 + 21y + (-20 + -8y2) = 0 Reorder the terms: -35 + -20 + 21y + -8y2 = 0 Combine like terms: -35 + -20 = -55 -55 + 21y + -8y2 = 0 Solving -55 + 21y + -8y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 6.875 + -2.625y + y2 = 0 Move the constant term to the right: Add '-6.875' to each side of the equation. 6.875 + -2.625y + -6.875 + y2 = 0 + -6.875 Reorder the terms: 6.875 + -6.875 + -2.625y + y2 = 0 + -6.875 Combine like terms: 6.875 + -6.875 = 0.000 0.000 + -2.625y + y2 = 0 + -6.875 -2.625y + y2 = 0 + -6.875 Combine like terms: 0 + -6.875 = -6.875 -2.625y + y2 = -6.875 The y term is -2.625y. Take half its coefficient (-1.3125). Square it (1.72265625) and add it to both sides. Add '1.72265625' to each side of the equation. -2.625y + 1.72265625 + y2 = -6.875 + 1.72265625 Reorder the terms: 1.72265625 + -2.625y + y2 = -6.875 + 1.72265625 Combine like terms: -6.875 + 1.72265625 = -5.15234375 1.72265625 + -2.625y + y2 = -5.15234375 Factor a perfect square on the left side: (y + -1.3125)(y + -1.3125) = -5.15234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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