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Simplifying (49y2) + (14yz) + (z2) = 0 (49y2) + (14yz) + z2 = 0 Reorder the terms: (14yz) + (49y2) + z2 = 0 Solving (14yz) + (49y2) + z2 = 0 Solving for variable 'y'. Factor a trinomial. (7y + z)(7y + z) = 0Subproblem 1
Set the factor '(7y + z)' equal to zero and attempt to solve: Simplifying 7y + z = 0 Solving 7y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 7y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 7y + 0 = 0 + -1z 7y = 0 + -1z Remove the zero: 7y = -1z Divide each side by '7'. y = -0.1428571429z Simplifying y = -0.1428571429zSubproblem 2
Set the factor '(7y + z)' equal to zero and attempt to solve: Simplifying 7y + z = 0 Solving 7y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 7y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 7y + 0 = 0 + -1z 7y = 0 + -1z Remove the zero: 7y = -1z Divide each side by '7'. y = -0.1428571429z Simplifying y = -0.1428571429zSolution
y = {-0.1428571429z, -0.1428571429z}
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