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Simplifying 98z2 + 84z + 18 = 0 Reorder the terms: 18 + 84z + 98z2 = 0 Solving 18 + 84z + 98z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 42z + 49z2) = 0 Factor a trinomial. 2((3 + 7z)(3 + 7z)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 7z)' equal to zero and attempt to solve: Simplifying 3 + 7z = 0 Solving 3 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 0 + -3 7z = 0 + -3 Combine like terms: 0 + -3 = -3 7z = -3 Divide each side by '7'. z = -0.4285714286 Simplifying z = -0.4285714286Subproblem 2
Set the factor '(3 + 7z)' equal to zero and attempt to solve: Simplifying 3 + 7z = 0 Solving 3 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7z = 0 + -3 7z = 0 + -3 Combine like terms: 0 + -3 = -3 7z = -3 Divide each side by '7'. z = -0.4285714286 Simplifying z = -0.4285714286Solution
z = {-0.4285714286, -0.4285714286}
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