25M^2=90M-81

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Solution for 25M^2=90M-81 equation:


Simplifying
25M2 = 90M + -81

Reorder the terms:
25M2 = -81 + 90M

Solving
25M2 = -81 + 90M

Solving for variable 'M'.

Reorder the terms:
81 + -90M + 25M2 = -81 + 90M + 81 + -90M

Reorder the terms:
81 + -90M + 25M2 = -81 + 81 + 90M + -90M

Combine like terms: -81 + 81 = 0
81 + -90M + 25M2 = 0 + 90M + -90M
81 + -90M + 25M2 = 90M + -90M

Combine like terms: 90M + -90M = 0
81 + -90M + 25M2 = 0

Factor a trinomial.
(9 + -5M)(9 + -5M) = 0

Subproblem 1

Set the factor '(9 + -5M)' equal to zero and attempt to solve: Simplifying 9 + -5M = 0 Solving 9 + -5M = 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 + -5M = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5M = 0 + -9 -5M = 0 + -9 Combine like terms: 0 + -9 = -9 -5M = -9 Divide each side by '-5'. M = 1.8 Simplifying M = 1.8

Subproblem 2

Set the factor '(9 + -5M)' equal to zero and attempt to solve: Simplifying 9 + -5M = 0 Solving 9 + -5M = 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 + -5M = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5M = 0 + -9 -5M = 0 + -9 Combine like terms: 0 + -9 = -9 -5M = -9 Divide each side by '-5'. M = 1.8 Simplifying M = 1.8

Solution

M = {1.8, 1.8}

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