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Simplifying 5z2 + 12z + 4 = 0 Reorder the terms: 4 + 12z + 5z2 = 0 Solving 4 + 12z + 5z2 = 0 Solving for variable 'z'. Factor a trinomial. (2 + z)(2 + 5z) = 0Subproblem 1
Set the factor '(2 + z)' equal to zero and attempt to solve: Simplifying 2 + z = 0 Solving 2 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + z = 0 + -2 z = 0 + -2 Combine like terms: 0 + -2 = -2 z = -2 Simplifying z = -2Subproblem 2
Set the factor '(2 + 5z)' equal to zero and attempt to solve: Simplifying 2 + 5z = 0 Solving 2 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 0 + -2 5z = 0 + -2 Combine like terms: 0 + -2 = -2 5z = -2 Divide each side by '5'. z = -0.4 Simplifying z = -0.4Solution
z = {-2, -0.4}
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