-2y^2-35-7y-y^2+5y=0

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Solution for -2y^2-35-7y-y^2+5y=0 equation:


Simplifying
-2y2 + -35 + -7y + -1y2 + 5y = 0

Reorder the terms:
-35 + -7y + 5y + -2y2 + -1y2 = 0

Combine like terms: -7y + 5y = -2y
-35 + -2y + -2y2 + -1y2 = 0

Combine like terms: -2y2 + -1y2 = -3y2
-35 + -2y + -3y2 = 0

Solving
-35 + -2y + -3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 2y + 3y2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(35 + 2y + 3y2)' equal to zero and attempt to solve: Simplifying 35 + 2y + 3y2 = 0 Solving 35 + 2y + 3y2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 11.66666667 + 0.6666666667y + y2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + 0.6666666667y + -11.66666667 + y2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + 0.6666666667y + y2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + 0.6666666667y + y2 = 0 + -11.66666667 0.6666666667y + y2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 0.6666666667y + y2 = -11.66666667 The y term is 0.6666666667y. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667y + 0.1111111112 + y2 = -11.66666667 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667y + y2 = -11.66666667 + 0.1111111112 Combine like terms: -11.66666667 + 0.1111111112 = -11.5555555588 0.1111111112 + 0.6666666667y + y2 = -11.5555555588 Factor a perfect square on the left side: (y + 0.3333333334)(y + 0.3333333334) = -11.5555555588 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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