(x-8)(3-4x)=

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Solution for (x-8)(3-4x)= equation: 


Simplifying
(x + -8)(3 + -4x) = 0

Reorder the terms:
(-8 + x)(3 + -4x) = 0

Multiply (-8 + x) * (3 + -4x)
(-8(3 + -4x) + x(3 + -4x)) = 0
((3 * -8 + -4x * -8) + x(3 + -4x)) = 0
((-24 + 32x) + x(3 + -4x)) = 0
(-24 + 32x + (3 * x + -4x * x)) = 0
(-24 + 32x + (3x + -4x2)) = 0

Combine like terms: 32x + 3x = 35x
(-24 + 35x + -4x2) = 0

Solving
-24 + 35x + -4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + x)(3 + -4x) = 0


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

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

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

Simplifying
x = 8

Subproblem 2
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75
Solution
x = {8, 0.75}

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