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Simplifying (2 + -1q)(14 + -1q) = 0 Multiply (2 + -1q) * (14 + -1q) (2(14 + -1q) + -1q * (14 + -1q)) = 0 ((14 * 2 + -1q * 2) + -1q * (14 + -1q)) = 0 ((28 + -2q) + -1q * (14 + -1q)) = 0 (28 + -2q + (14 * -1q + -1q * -1q)) = 0 (28 + -2q + (-14q + 1q2)) = 0 Combine like terms: -2q + -14q = -16q (28 + -16q + 1q2) = 0 Solving 28 + -16q + 1q2 = 0 Solving for variable 'q'. Factor a trinomial. (2 + -1q)(14 + -1q) = 0Subproblem 1
Set the factor '(2 + -1q)' equal to zero and attempt to solve: Simplifying 2 + -1q = 0 Solving 2 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 0 + -2 -1q = 0 + -2 Combine like terms: 0 + -2 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2Subproblem 2
Set the factor '(14 + -1q)' equal to zero and attempt to solve: Simplifying 14 + -1q = 0 Solving 14 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1q = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1q = 0 + -14 -1q = 0 + -14 Combine like terms: 0 + -14 = -14 -1q = -14 Divide each side by '-1'. q = 14 Simplifying q = 14Solution
q = {2, 14}
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