(-4+2d)(5+2d)=0

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Solution for (-4+2d)(5+2d)=0 equation:


Simplifying
(-4 + 2d)(5 + 2d) = 0

Multiply (-4 + 2d) * (5 + 2d)
(-4(5 + 2d) + 2d * (5 + 2d)) = 0
((5 * -4 + 2d * -4) + 2d * (5 + 2d)) = 0
((-20 + -8d) + 2d * (5 + 2d)) = 0
(-20 + -8d + (5 * 2d + 2d * 2d)) = 0
(-20 + -8d + (10d + 4d2)) = 0

Combine like terms: -8d + 10d = 2d
(-20 + 2d + 4d2) = 0

Solving
-20 + 2d + 4d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + d + 2d2) = 0

Factor a trinomial.
2((-5 + -2d)(2 + -1d)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -2d)' equal to zero and attempt to solve: Simplifying -5 + -2d = 0 Solving -5 + -2d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2d = 0 + 5 -2d = 0 + 5 Combine like terms: 0 + 5 = 5 -2d = 5 Divide each side by '-2'. d = -2.5 Simplifying d = -2.5

Subproblem 2

Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2

Solution

d = {-2.5, 2}

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