(5x-8)(x-3)=0

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Solution for (5x-8)(x-3)=0 equation: 


Simplifying
(5x + -8)(x + -3) = 0

Reorder the terms:
(-8 + 5x)(x + -3) = 0

Reorder the terms:
(-8 + 5x)(-3 + x) = 0

Multiply (-8 + 5x) * (-3 + x)
(-8(-3 + x) + 5x * (-3 + x)) = 0
((-3 * -8 + x * -8) + 5x * (-3 + x)) = 0
((24 + -8x) + 5x * (-3 + x)) = 0
(24 + -8x + (-3 * 5x + x * 5x)) = 0
(24 + -8x + (-15x + 5x2)) = 0

Combine like terms: -8x + -15x = -23x
(24 + -23x + 5x2) = 0

Solving
24 + -23x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -5x)(3 + -1x) = 0


Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.6, 3}

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