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Simplifying (3w + -11)(3w + -11) = 0 Reorder the terms: (-11 + 3w)(3w + -11) = 0 Reorder the terms: (-11 + 3w)(-11 + 3w) = 0 Multiply (-11 + 3w) * (-11 + 3w) (-11(-11 + 3w) + 3w * (-11 + 3w)) = 0 ((-11 * -11 + 3w * -11) + 3w * (-11 + 3w)) = 0 ((121 + -33w) + 3w * (-11 + 3w)) = 0 (121 + -33w + (-11 * 3w + 3w * 3w)) = 0 (121 + -33w + (-33w + 9w2)) = 0 Combine like terms: -33w + -33w = -66w (121 + -66w + 9w2) = 0 Solving 121 + -66w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (11 + -3w)(11 + -3w) = 0Subproblem 1
Set the factor '(11 + -3w)' equal to zero and attempt to solve: Simplifying 11 + -3w = 0 Solving 11 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3w = 0 + -11 -3w = 0 + -11 Combine like terms: 0 + -11 = -11 -3w = -11 Divide each side by '-3'. w = 3.666666667 Simplifying w = 3.666666667Subproblem 2
Set the factor '(11 + -3w)' equal to zero and attempt to solve: Simplifying 11 + -3w = 0 Solving 11 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3w = 0 + -11 -3w = 0 + -11 Combine like terms: 0 + -11 = -11 -3w = -11 Divide each side by '-3'. w = 3.666666667 Simplifying w = 3.666666667Solution
w = {3.666666667, 3.666666667}
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