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Simplifying 4z2 + -4z + -143 = 0 Reorder the terms: -143 + -4z + 4z2 = 0 Solving -143 + -4z + 4z2 = 0 Solving for variable 'z'. Factor a trinomial. (-11 + -2z)(13 + -2z) = 0Subproblem 1
Set the factor '(-11 + -2z)' equal to zero and attempt to solve: Simplifying -11 + -2z = 0 Solving -11 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2z = 0 + 11 -2z = 0 + 11 Combine like terms: 0 + 11 = 11 -2z = 11 Divide each side by '-2'. z = -5.5 Simplifying z = -5.5Subproblem 2
Set the factor '(13 + -2z)' equal to zero and attempt to solve: Simplifying 13 + -2z = 0 Solving 13 + -2z = 0 Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -2z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -2z = 0 + -13 -2z = 0 + -13 Combine like terms: 0 + -13 = -13 -2z = -13 Divide each side by '-2'. z = 6.5 Simplifying z = 6.5Solution
z = {-5.5, 6.5}
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