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Simplifying 64y3 + -49y = 0 Reorder the terms: -49y + 64y3 = 0 Solving -49y + 64y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-49 + 64y2) = 0 Factor a difference between two squares. y((7 + 8y)(-7 + 8y)) = 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 '(7 + 8y)' equal to zero and attempt to solve: Simplifying 7 + 8y = 0 Solving 7 + 8y = 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 + 8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 0 + -7 8y = 0 + -7 Combine like terms: 0 + -7 = -7 8y = -7 Divide each side by '8'. y = -0.875 Simplifying y = -0.875Subproblem 3
Set the factor '(-7 + 8y)' equal to zero and attempt to solve: Simplifying -7 + 8y = 0 Solving -7 + 8y = 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 + 8y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8y = 0 + 7 8y = 0 + 7 Combine like terms: 0 + 7 = 7 8y = 7 Divide each side by '8'. y = 0.875 Simplifying y = 0.875Solution
y = {0, -0.875, 0.875}
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