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Simplifying (3w + -7)(3w + -7) = 0 Reorder the terms: (-7 + 3w)(3w + -7) = 0 Reorder the terms: (-7 + 3w)(-7 + 3w) = 0 Multiply (-7 + 3w) * (-7 + 3w) (-7(-7 + 3w) + 3w * (-7 + 3w)) = 0 ((-7 * -7 + 3w * -7) + 3w * (-7 + 3w)) = 0 ((49 + -21w) + 3w * (-7 + 3w)) = 0 (49 + -21w + (-7 * 3w + 3w * 3w)) = 0 (49 + -21w + (-21w + 9w2)) = 0 Combine like terms: -21w + -21w = -42w (49 + -42w + 9w2) = 0 Solving 49 + -42w + 9w2 = 0 Solving for variable 'w'. Factor a trinomial. (7 + -3w)(7 + -3w) = 0Subproblem 1
Set the factor '(7 + -3w)' equal to zero and attempt to solve: Simplifying 7 + -3w = 0 Solving 7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 0 + -7 -3w = 0 + -7 Combine like terms: 0 + -7 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333Subproblem 2
Set the factor '(7 + -3w)' equal to zero and attempt to solve: Simplifying 7 + -3w = 0 Solving 7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 0 + -7 -3w = 0 + -7 Combine like terms: 0 + -7 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333Solution
w = {2.333333333, 2.333333333}
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