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Simplifying 7y4(y3 + -8y) + 9y7 = 0 Reorder the terms: 7y4(-8y + y3) + 9y7 = 0 (-8y * 7y4 + y3 * 7y4) + 9y7 = 0 (-56y5 + 7y7) + 9y7 = 0 Combine like terms: 7y7 + 9y7 = 16y7 -56y5 + 16y7 = 0 Solving -56y5 + 16y7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y5'. 8y5(-7 + 2y2) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-7 + 2y2)' equal to zero and attempt to solve: Simplifying -7 + 2y2 = 0 Solving -7 + 2y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2y2 = 0 + 7 2y2 = 0 + 7 Combine like terms: 0 + 7 = 7 2y2 = 7 Divide each side by '2'. y2 = 3.5 Simplifying y2 = 3.5 Take the square root of each side: y = {-1.870828693, 1.870828693}Solution
y = {-1.870828693, 1.870828693}
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