9x^2=50x-25

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Solution for 9x^2=50x-25 equation:


Simplifying
9x2 = 50x + -25

Reorder the terms:
9x2 = -25 + 50x

Solving
9x2 = -25 + 50x

Solving for variable 'x'.

Reorder the terms:
25 + -50x + 9x2 = -25 + 50x + 25 + -50x

Reorder the terms:
25 + -50x + 9x2 = -25 + 25 + 50x + -50x

Combine like terms: -25 + 25 = 0
25 + -50x + 9x2 = 0 + 50x + -50x
25 + -50x + 9x2 = 50x + -50x

Combine like terms: 50x + -50x = 0
25 + -50x + 9x2 = 0

Factor a trinomial.
(5 + -9x)(5 + -1x) = 0

Subproblem 1

Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {0.5555555556, 5}

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