(11d-7)(9d-10)=0

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Solution for (11d-7)(9d-10)=0 equation:


Simplifying
(11d + -7)(9d + -10) = 0

Reorder the terms:
(-7 + 11d)(9d + -10) = 0

Reorder the terms:
(-7 + 11d)(-10 + 9d) = 0

Multiply (-7 + 11d) * (-10 + 9d)
(-7(-10 + 9d) + 11d * (-10 + 9d)) = 0
((-10 * -7 + 9d * -7) + 11d * (-10 + 9d)) = 0
((70 + -63d) + 11d * (-10 + 9d)) = 0
(70 + -63d + (-10 * 11d + 9d * 11d)) = 0
(70 + -63d + (-110d + 99d2)) = 0

Combine like terms: -63d + -110d = -173d
(70 + -173d + 99d2) = 0

Solving
70 + -173d + 99d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(7 + -11d)(10 + -9d) = 0

Subproblem 1

Set the factor '(7 + -11d)' equal to zero and attempt to solve: Simplifying 7 + -11d = 0 Solving 7 + -11d = 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 + -11d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11d = 0 + -7 -11d = 0 + -7 Combine like terms: 0 + -7 = -7 -11d = -7 Divide each side by '-11'. d = 0.6363636364 Simplifying d = 0.6363636364

Subproblem 2

Set the factor '(10 + -9d)' equal to zero and attempt to solve: Simplifying 10 + -9d = 0 Solving 10 + -9d = 0 Move all terms containing d to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9d = 0 + -10 -9d = 0 + -10 Combine like terms: 0 + -10 = -10 -9d = -10 Divide each side by '-9'. d = 1.111111111 Simplifying d = 1.111111111

Solution

d = {0.6363636364, 1.111111111}

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