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Simplifying 25z2 + 40z + 16 = 16 Reorder the terms: 16 + 40z + 25z2 = 16 Add '-16' to each side of the equation. 16 + 40z + -16 + 25z2 = 16 + -16 Reorder the terms: 16 + -16 + 40z + 25z2 = 16 + -16 Combine like terms: 16 + -16 = 0 0 + 40z + 25z2 = 16 + -16 40z + 25z2 = 16 + -16 Combine like terms: 16 + -16 = 0 40z + 25z2 = 0 Solving 40z + 25z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(8 + 5z) = 0 Ignore the factor 5.Subproblem 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 '(8 + 5z)' equal to zero and attempt to solve: Simplifying 8 + 5z = 0 Solving 8 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 0 + -8 5z = 0 + -8 Combine like terms: 0 + -8 = -8 5z = -8 Divide each side by '5'. z = -1.6 Simplifying z = -1.6Solution
z = {0, -1.6}
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