(x-9)(2x-5)=0

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Solution for (x-9)(2x-5)=0 equation:


Simplifying
(x + -9)(2x + -5) = 0

Reorder the terms:
(-9 + x)(2x + -5) = 0

Reorder the terms:
(-9 + x)(-5 + 2x) = 0

Multiply (-9 + x) * (-5 + 2x)
(-9(-5 + 2x) + x(-5 + 2x)) = 0
((-5 * -9 + 2x * -9) + x(-5 + 2x)) = 0
((45 + -18x) + x(-5 + 2x)) = 0
(45 + -18x + (-5 * x + 2x * x)) = 0
(45 + -18x + (-5x + 2x2)) = 0

Combine like terms: -18x + -5x = -23x
(45 + -23x + 2x2) = 0

Solving
45 + -23x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -2x)(9 + -1x) = 0

Subproblem 1

Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Subproblem 2

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

Solution

x = {2.5, 9}

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