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Simplifying (d + -7)(d + -12) = 0 Reorder the terms: (-7 + d)(d + -12) = 0 Reorder the terms: (-7 + d)(-12 + d) = 0 Multiply (-7 + d) * (-12 + d) (-7(-12 + d) + d(-12 + d)) = 0 ((-12 * -7 + d * -7) + d(-12 + d)) = 0 ((84 + -7d) + d(-12 + d)) = 0 (84 + -7d + (-12 * d + d * d)) = 0 (84 + -7d + (-12d + d2)) = 0 Combine like terms: -7d + -12d = -19d (84 + -19d + d2) = 0 Solving 84 + -19d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + -1d)(12 + -1d) = 0Subproblem 1
Set the factor '(7 + -1d)' equal to zero and attempt to solve: Simplifying 7 + -1d = 0 Solving 7 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = 0 + -7 -1d = 0 + -7 Combine like terms: 0 + -7 = -7 -1d = -7 Divide each side by '-1'. d = 7 Simplifying d = 7Subproblem 2
Set the factor '(12 + -1d)' equal to zero and attempt to solve: Simplifying 12 + -1d = 0 Solving 12 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1d = 0 + -12 -1d = 0 + -12 Combine like terms: 0 + -12 = -12 -1d = -12 Divide each side by '-1'. d = 12 Simplifying d = 12Solution
d = {7, 12}
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