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Simplifying 100yw2 + 120ywz + 36yz2 = 0 Reorder the terms: 120wyz + 100w2y + 36yz2 = 0 Solving 120wyz + 100w2y + 36yz2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(30wz + 25w2 + 9z2) = 0 Factor a trinomial. 4y((5w + 3z)(5w + 3z)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing w to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(5w + 3z)' equal to zero and attempt to solve: Simplifying 5w + 3z = 0 Solving 5w + 3z = 0 Move all terms containing w to the left, all other terms to the right. Add '-3z' to each side of the equation. 5w + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 5w + 0 = 0 + -3z 5w = 0 + -3z Remove the zero: 5w = -3z Divide each side by '5'. w = -0.6z Simplifying w = -0.6zSubproblem 3
Set the factor '(5w + 3z)' equal to zero and attempt to solve: Simplifying 5w + 3z = 0 Solving 5w + 3z = 0 Move all terms containing w to the left, all other terms to the right. Add '-3z' to each side of the equation. 5w + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 5w + 0 = 0 + -3z 5w = 0 + -3z Remove the zero: 5w = -3z Divide each side by '5'. w = -0.6z Simplifying w = -0.6zSolution
w = {-0.6z, -0.6z}
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