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Simplifying 6y * 6y + -5y + 7y * 7y + -3y = 0 Reorder the terms for easier multiplication: 6 * 6y * y + -5y + 7y * 7y + -3y = 0 Multiply 6 * 6 36y * y + -5y + 7y * 7y + -3y = 0 Multiply y * y 36y2 + -5y + 7y * 7y + -3y = 0 Reorder the terms for easier multiplication: 36y2 + -5y + 7 * 7y * y + -3y = 0 Multiply 7 * 7 36y2 + -5y + 49y * y + -3y = 0 Multiply y * y 36y2 + -5y + 49y2 + -3y = 0 Reorder the terms: -5y + -3y + 36y2 + 49y2 = 0 Combine like terms: -5y + -3y = -8y -8y + 36y2 + 49y2 = 0 Combine like terms: 36y2 + 49y2 = 85y2 -8y + 85y2 = 0 Solving -8y + 85y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-8 + 85y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-8 + 85y)' equal to zero and attempt to solve: Simplifying -8 + 85y = 0 Solving -8 + 85y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 85y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 85y = 0 + 8 85y = 0 + 8 Combine like terms: 0 + 8 = 8 85y = 8 Divide each side by '85'. y = 0.09411764706 Simplifying y = 0.09411764706Solution
y = {0, 0.09411764706}
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