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Simplifying 4z2 + 8z + -21 = 0 Reorder the terms: -21 + 8z + 4z2 = 0 Solving -21 + 8z + 4z2 = 0 Solving for variable 'z'. Factor a trinomial. (-7 + -2z)(3 + -2z) = 0Subproblem 1
Set the factor '(-7 + -2z)' equal to zero and attempt to solve: Simplifying -7 + -2z = 0 Solving -7 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 0 + 7 -2z = 0 + 7 Combine like terms: 0 + 7 = 7 -2z = 7 Divide each side by '-2'. z = -3.5 Simplifying z = -3.5Subproblem 2
Set the factor '(3 + -2z)' equal to zero and attempt to solve: Simplifying 3 + -2z = 0 Solving 3 + -2z = 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 + -2z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2z = 0 + -3 -2z = 0 + -3 Combine like terms: 0 + -3 = -3 -2z = -3 Divide each side by '-2'. z = 1.5 Simplifying z = 1.5Solution
z = {-3.5, 1.5}
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