(4m-9)(m-9)=0

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Solution for (4m-9)(m-9)=0 equation:


Simplifying
(4m + -9)(m + -9) = 0

Reorder the terms:
(-9 + 4m)(m + -9) = 0

Reorder the terms:
(-9 + 4m)(-9 + m) = 0

Multiply (-9 + 4m) * (-9 + m)
(-9(-9 + m) + 4m * (-9 + m)) = 0
((-9 * -9 + m * -9) + 4m * (-9 + m)) = 0
((81 + -9m) + 4m * (-9 + m)) = 0
(81 + -9m + (-9 * 4m + m * 4m)) = 0
(81 + -9m + (-36m + 4m2)) = 0

Combine like terms: -9m + -36m = -45m
(81 + -45m + 4m2) = 0

Solving
81 + -45m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + -4m)(9 + -1m) = 0

Subproblem 1

Set the factor '(9 + -4m)' equal to zero and attempt to solve: Simplifying 9 + -4m = 0 Solving 9 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4m = 0 + -9 -4m = 0 + -9 Combine like terms: 0 + -9 = -9 -4m = -9 Divide each side by '-4'. m = 2.25 Simplifying m = 2.25

Subproblem 2

Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9

Solution

m = {2.25, 9}

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