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Simplifying (2d + -3)(2d + -3) = 0 Reorder the terms: (-3 + 2d)(2d + -3) = 0 Reorder the terms: (-3 + 2d)(-3 + 2d) = 0 Multiply (-3 + 2d) * (-3 + 2d) (-3(-3 + 2d) + 2d * (-3 + 2d)) = 0 ((-3 * -3 + 2d * -3) + 2d * (-3 + 2d)) = 0 ((9 + -6d) + 2d * (-3 + 2d)) = 0 (9 + -6d + (-3 * 2d + 2d * 2d)) = 0 (9 + -6d + (-6d + 4d2)) = 0 Combine like terms: -6d + -6d = -12d (9 + -12d + 4d2) = 0 Solving 9 + -12d + 4d2 = 0 Solving for variable 'd'. Factor a trinomial. (3 + -2d)(3 + -2d) = 0Subproblem 1
Set the factor '(3 + -2d)' equal to zero and attempt to solve: Simplifying 3 + -2d = 0 Solving 3 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2d = 0 + -3 -2d = 0 + -3 Combine like terms: 0 + -3 = -3 -2d = -3 Divide each side by '-2'. d = 1.5 Simplifying d = 1.5Subproblem 2
Set the factor '(3 + -2d)' equal to zero and attempt to solve: Simplifying 3 + -2d = 0 Solving 3 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2d = 0 + -3 -2d = 0 + -3 Combine like terms: 0 + -3 = -3 -2d = -3 Divide each side by '-2'. d = 1.5 Simplifying d = 1.5Solution
d = {1.5, 1.5}
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