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Simplifying 49z2 + -42z + 9 = 0 Reorder the terms: 9 + -42z + 49z2 = 0 Solving 9 + -42z + 49z2 = 0 Solving for variable 'z'. Factor a trinomial. (3 + -7z)(3 + -7z) = 0Subproblem 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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