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