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Simplifying 7z2 + 19z + 10 = 0 Reorder the terms: 10 + 19z + 7z2 = 0 Solving 10 + 19z + 7z2 = 0 Solving for variable 'z'. Factor a trinomial. (2 + z)(5 + 7z) = 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 '(5 + 7z)' equal to zero and attempt to solve: Simplifying 5 + 7z = 0 Solving 5 + 7z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7z = 0 + -5 7z = 0 + -5 Combine like terms: 0 + -5 = -5 7z = -5 Divide each side by '7'. z = -0.7142857143 Simplifying z = -0.7142857143Solution
z = {-2, -0.7142857143}
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