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Simplifying 4y + -28 + -2y + 6y = 6y * 6y Reorder the terms: -28 + 4y + -2y + 6y = 6y * 6y Combine like terms: 4y + -2y = 2y -28 + 2y + 6y = 6y * 6y Combine like terms: 2y + 6y = 8y -28 + 8y = 6y * 6y Reorder the terms for easier multiplication: -28 + 8y = 6 * 6y * y Multiply 6 * 6 -28 + 8y = 36y * y Multiply y * y -28 + 8y = 36y2 Solving -28 + 8y = 36y2 Solving for variable 'y'. Combine like terms: 36y2 + -36y2 = 0 -28 + 8y + -36y2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 2y + -9y2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 2y + -9y2)' equal to zero and attempt to solve: Simplifying -7 + 2y + -9y2 = 0 Solving -7 + 2y + -9y2 = 0 Begin completing the square. Divide all terms by -9 the coefficient of the squared term: Divide each side by '-9'. 0.7777777778 + -0.2222222222y + y2 = 0 Move the constant term to the right: Add '-0.7777777778' to each side of the equation. 0.7777777778 + -0.2222222222y + -0.7777777778 + y2 = 0 + -0.7777777778 Reorder the terms: 0.7777777778 + -0.7777777778 + -0.2222222222y + y2 = 0 + -0.7777777778 Combine like terms: 0.7777777778 + -0.7777777778 = 0.0000000000 0.0000000000 + -0.2222222222y + y2 = 0 + -0.7777777778 -0.2222222222y + y2 = 0 + -0.7777777778 Combine like terms: 0 + -0.7777777778 = -0.7777777778 -0.2222222222y + y2 = -0.7777777778 The y term is -0.2222222222y. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222y + 0.01234567901 + y2 = -0.7777777778 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222y + y2 = -0.7777777778 + 0.01234567901 Combine like terms: -0.7777777778 + 0.01234567901 = -0.76543209879 0.01234567901 + -0.2222222222y + y2 = -0.76543209879 Factor a perfect square on the left side: (y + -0.1111111111)(y + -0.1111111111) = -0.76543209879 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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