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Simplifying (-8y4 + 2 + -8y2) + -1(14 + -2y4) = 0 Reorder the terms: (2 + -8y2 + -8y4) + -1(14 + -2y4) = 0 Remove parenthesis around (2 + -8y2 + -8y4) 2 + -8y2 + -8y4 + -1(14 + -2y4) = 0 2 + -8y2 + -8y4 + (14 * -1 + -2y4 * -1) = 0 2 + -8y2 + -8y4 + (-14 + 2y4) = 0 Reorder the terms: 2 + -14 + -8y2 + -8y4 + 2y4 = 0 Combine like terms: 2 + -14 = -12 -12 + -8y2 + -8y4 + 2y4 = 0 Combine like terms: -8y4 + 2y4 = -6y4 -12 + -8y2 + -6y4 = 0 Solving -12 + -8y2 + -6y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2'. -2(6 + 4y2 + 3y4) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(6 + 4y2 + 3y4)' equal to zero and attempt to solve: Simplifying 6 + 4y2 + 3y4 = 0 Solving 6 + 4y2 + 3y4 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + 1.333333333y2 + y4 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.333333333y2 + -2 + y4 = 0 + -2 Reorder the terms: 2 + -2 + 1.333333333y2 + y4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.333333333y2 + y4 = 0 + -2 1.333333333y2 + y4 = 0 + -2 Combine like terms: 0 + -2 = -2 1.333333333y2 + y4 = -2 The y term is 1.333333333y2. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333y2 + 0.4444444442 + y4 = -2 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333y2 + y4 = -2 + 0.4444444442 Combine like terms: -2 + 0.4444444442 = -1.5555555558 0.4444444442 + 1.333333333y2 + y4 = -1.5555555558 Factor a perfect square on the left side: (y2 + 0.6666666665)(y2 + 0.6666666665) = -1.5555555558 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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