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Simplifying (2w + -3)(2w + -3) = 0 Reorder the terms: (-3 + 2w)(2w + -3) = 0 Reorder the terms: (-3 + 2w)(-3 + 2w) = 0 Multiply (-3 + 2w) * (-3 + 2w) (-3(-3 + 2w) + 2w * (-3 + 2w)) = 0 ((-3 * -3 + 2w * -3) + 2w * (-3 + 2w)) = 0 ((9 + -6w) + 2w * (-3 + 2w)) = 0 (9 + -6w + (-3 * 2w + 2w * 2w)) = 0 (9 + -6w + (-6w + 4w2)) = 0 Combine like terms: -6w + -6w = -12w (9 + -12w + 4w2) = 0 Solving 9 + -12w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (3 + -2w)(3 + -2w) = 0Subproblem 1
Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5Subproblem 2
Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5Solution
w = {1.5, 1.5}
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