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Simplifying 49y2 + -289y4 = 0 Solving 49y2 + -289y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(49 + -289y2) = 0 Factor a difference between two squares. y2((7 + 17y)(7 + -17y)) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(7 + 17y)' equal to zero and attempt to solve: Simplifying 7 + 17y = 0 Solving 7 + 17y = 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 + 17y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 17y = 0 + -7 17y = 0 + -7 Combine like terms: 0 + -7 = -7 17y = -7 Divide each side by '17'. y = -0.4117647059 Simplifying y = -0.4117647059Subproblem 3
Set the factor '(7 + -17y)' equal to zero and attempt to solve: Simplifying 7 + -17y = 0 Solving 7 + -17y = 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 + -17y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -17y = 0 + -7 -17y = 0 + -7 Combine like terms: 0 + -7 = -7 -17y = -7 Divide each side by '-17'. y = 0.4117647059 Simplifying y = 0.4117647059Solution
y = {0, -0.4117647059, 0.4117647059}
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