(d+3)(d-7)=

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Solution for (d+3)(d-7)= equation:


Simplifying
(d + 3)(d + -7) = 0

Reorder the terms:
(3 + d)(d + -7) = 0

Reorder the terms:
(3 + d)(-7 + d) = 0

Multiply (3 + d) * (-7 + d)
(3(-7 + d) + d(-7 + d)) = 0
((-7 * 3 + d * 3) + d(-7 + d)) = 0
((-21 + 3d) + d(-7 + d)) = 0
(-21 + 3d + (-7 * d + d * d)) = 0
(-21 + 3d + (-7d + d2)) = 0

Combine like terms: 3d + -7d = -4d
(-21 + -4d + d2) = 0

Solving
-21 + -4d + d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-3 + -1d)(7 + -1d) = 0

Subproblem 1

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 = -3

Subproblem 2

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 = 7

Solution

d = {-3, 7}

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