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Simplifying (5y2 + 3z)(5y2 + -3z) = 0 Multiply (5y2 + 3z) * (5y2 + -3z) (5y2 * (5y2 + -3z) + 3z * (5y2 + -3z)) = 0 ((5y2 * 5y2 + -3z * 5y2) + 3z * (5y2 + -3z)) = 0 Reorder the terms: ((-15y2z + 25y4) + 3z * (5y2 + -3z)) = 0 ((-15y2z + 25y4) + 3z * (5y2 + -3z)) = 0 (-15y2z + 25y4 + (5y2 * 3z + -3z * 3z)) = 0 (-15y2z + 25y4 + (15y2z + -9z2)) = 0 Reorder the terms: (-15y2z + 15y2z + 25y4 + -9z2) = 0 Combine like terms: -15y2z + 15y2z = 0 (0 + 25y4 + -9z2) = 0 (25y4 + -9z2) = 0 Solving 25y4 + -9z2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9z2' to each side of the equation. 25y4 + -9z2 + 9z2 = 0 + 9z2 Combine like terms: -9z2 + 9z2 = 0 25y4 + 0 = 0 + 9z2 25y4 = 0 + 9z2 Remove the zero: 25y4 = 9z2 Divide each side by '25'. y4 = 0.36z2 Simplifying y4 = 0.36z2 Combine like terms: 0.36z2 + -0.36z2 = 0.00 y4 + -0.36z2 = 0.00 Factor a difference between two squares. (y2 + 0.6z)(y2 + -0.6z) = 0.00Subproblem 1
Set the factor '(y2 + 0.6z)' equal to zero and attempt to solve: Simplifying y2 + 0.6z = 0 Solving y2 + 0.6z = 0 Move all terms containing y to the left, all other terms to the right. Add '-0.6z' to each side of the equation. y2 + 0.6z + -0.6z = 0 + -0.6z Combine like terms: 0.6z + -0.6z = 0.0 y2 + 0.0 = 0 + -0.6z y2 = 0 + -0.6z Remove the zero: y2 = -0.6z Simplifying y2 = -0.6z 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 '(y2 + -0.6z)' equal to zero and attempt to solve: Simplifying y2 + -0.6z = 0 Solving y2 + -0.6z = 0 Move all terms containing y to the left, all other terms to the right. Add '0.6z' to each side of the equation. y2 + -0.6z + 0.6z = 0 + 0.6z Combine like terms: -0.6z + 0.6z = 0.0 y2 + 0.0 = 0 + 0.6z y2 = 0 + 0.6z Remove the zero: y2 = 0.6z Simplifying y2 = 0.6z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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