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Simplifying 5z(3z + 2) + -7z(2z + 4) = 0 Reorder the terms: 5z(2 + 3z) + -7z(2z + 4) = 0 (2 * 5z + 3z * 5z) + -7z(2z + 4) = 0 (10z + 15z2) + -7z(2z + 4) = 0 Reorder the terms: 10z + 15z2 + -7z(4 + 2z) = 0 10z + 15z2 + (4 * -7z + 2z * -7z) = 0 10z + 15z2 + (-28z + -14z2) = 0 Reorder the terms: 10z + -28z + 15z2 + -14z2 = 0 Combine like terms: 10z + -28z = -18z -18z + 15z2 + -14z2 = 0 Combine like terms: 15z2 + -14z2 = 1z2 -18z + 1z2 = 0 Solving -18z + 1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-18 + z) = 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 '(-18 + z)' equal to zero and attempt to solve: Simplifying -18 + z = 0 Solving -18 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + z = 0 + 18 z = 0 + 18 Combine like terms: 0 + 18 = 18 z = 18 Simplifying z = 18Solution
z = {0, 18}
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