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

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


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

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

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

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

Combine like terms: -2x + -45x = -47x
(18 + -47x + 5x2) = 0

Solving
18 + -47x + 5x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve:

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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 = {0.4, 9}

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