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Simplifying (9z + -3z2) + (4z + -7z2) = 0 Remove parenthesis around (9z + -3z2) 9z + -3z2 + (4z + -7z2) = 0 Remove parenthesis around (4z + -7z2) 9z + -3z2 + 4z + -7z2 = 0 Reorder the terms: 9z + 4z + -3z2 + -7z2 = 0 Combine like terms: 9z + 4z = 13z 13z + -3z2 + -7z2 = 0 Combine like terms: -3z2 + -7z2 = -10z2 13z + -10z2 = 0 Solving 13z + -10z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(13 + -10z) = 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 '(13 + -10z)' equal to zero and attempt to solve: Simplifying 13 + -10z = 0 Solving 13 + -10z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -10z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -10z = 0 + -13 -10z = 0 + -13 Combine like terms: 0 + -13 = -13 -10z = -13 Divide each side by '-10'. z = 1.3 Simplifying z = 1.3Solution
z = {0, 1.3}
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