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Simplifying 35w2 + -44wz + -7z2 = 0 Reorder the terms: -44wz + 35w2 + -7z2 = 0 Solving -44wz + 35w2 + -7z2 = 0 Solving for variable 'w'. Factor a trinomial. (5w + -7z)(7w + z) = 0Subproblem 1
Set the factor '(5w + -7z)' equal to zero and attempt to solve: Simplifying 5w + -7z = 0 Solving 5w + -7z = 0 Move all terms containing w to the left, all other terms to the right. Add '7z' to each side of the equation. 5w + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 5w + 0 = 0 + 7z 5w = 0 + 7z Remove the zero: 5w = 7z Divide each side by '5'. w = 1.4z Simplifying w = 1.4zSubproblem 2
Set the factor '(7w + z)' equal to zero and attempt to solve: Simplifying 7w + z = 0 Solving 7w + z = 0 Move all terms containing w to the left, all other terms to the right. Add '-1z' to each side of the equation. 7w + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 7w + 0 = 0 + -1z 7w = 0 + -1z Remove the zero: 7w = -1z Divide each side by '7'. w = -0.1428571429z Simplifying w = -0.1428571429zSolution
w = {1.4z, -0.1428571429z}
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