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Simplifying 4z2 + 25z = 20z2 Reorder the terms: 25z + 4z2 = 20z2 Solving 25z + 4z2 = 20z2 Solving for variable 'z'. Combine like terms: 4z2 + -20z2 = -16z2 25z + -16z2 = 20z2 + -20z2 Combine like terms: 20z2 + -20z2 = 0 25z + -16z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(25 + -16z) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0Subproblem 2
Set the factor '(25 + -16z)' equal to zero and attempt to solve: Simplifying 25 + -16z = 0 Solving 25 + -16z = 0 Move all terms containing z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -16z = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -16z = 0 + -25 -16z = 0 + -25 Combine like terms: 0 + -25 = -25 -16z = -25 Divide each side by '-16'. z = 1.5625 Simplifying z = 1.5625Solution
z = {0, 1.5625}
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