(x-3)(x-4x+5)=

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Solution for (x-3)(x-4x+5)= equation: 


Simplifying
(x + -3)(x + -4x + 5) = 0

Reorder the terms:
(-3 + x)(x + -4x + 5) = 0

Reorder the terms:
(-3 + x)(5 + x + -4x) = 0

Combine like terms: x + -4x = -3x
(-3 + x)(5 + -3x) = 0

Multiply (-3 + x) * (5 + -3x)
(-3(5 + -3x) + x(5 + -3x)) = 0
((5 * -3 + -3x * -3) + x(5 + -3x)) = 0
((-15 + 9x) + x(5 + -3x)) = 0
(-15 + 9x + (5 * x + -3x * x)) = 0
(-15 + 9x + (5x + -3x2)) = 0

Combine like terms: 9x + 5x = 14x
(-15 + 14x + -3x2) = 0

Solving
-15 + 14x + -3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-3 + x = 0

Solving
-3 + x = 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 + x = 0 + 3

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

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

Simplifying
x = 3

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {3, 1.666666667}

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