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Simplifying 63z = 49 + 18z2 Solving 63z = 49 + 18z2 Solving for variable 'z'. Reorder the terms: -49 + 63z + -18z2 = 49 + 18z2 + -49 + -18z2 Reorder the terms: -49 + 63z + -18z2 = 49 + -49 + 18z2 + -18z2 Combine like terms: 49 + -49 = 0 -49 + 63z + -18z2 = 0 + 18z2 + -18z2 -49 + 63z + -18z2 = 18z2 + -18z2 Combine like terms: 18z2 + -18z2 = 0 -49 + 63z + -18z2 = 0 Factor a trinomial. (-7 + 3z)(7 + -6z) = 0Subproblem 1
Set the factor '(-7 + 3z)' equal to zero and attempt to solve: Simplifying -7 + 3z = 0 Solving -7 + 3z = 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 + 3z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 0 + 7 3z = 0 + 7 Combine like terms: 0 + 7 = 7 3z = 7 Divide each side by '3'. z = 2.333333333 Simplifying z = 2.333333333Subproblem 2
Set the factor '(7 + -6z)' equal to zero and attempt to solve: Simplifying 7 + -6z = 0 Solving 7 + -6z = 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 + -6z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6z = 0 + -7 -6z = 0 + -7 Combine like terms: 0 + -7 = -7 -6z = -7 Divide each side by '-6'. z = 1.166666667 Simplifying z = 1.166666667Solution
z = {2.333333333, 1.166666667}
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