(3x-7)(4-3x)=0

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Solution for (3x-7)(4-3x)=0 equation: 


Simplifying
(3x + -7)(4 + -3x) = 0

Reorder the terms:
(-7 + 3x)(4 + -3x) = 0

Multiply (-7 + 3x) * (4 + -3x)
(-7(4 + -3x) + 3x * (4 + -3x)) = 0
((4 * -7 + -3x * -7) + 3x * (4 + -3x)) = 0
((-28 + 21x) + 3x * (4 + -3x)) = 0
(-28 + 21x + (4 * 3x + -3x * 3x)) = 0
(-28 + 21x + (12x + -9x2)) = 0

Combine like terms: 21x + 12x = 33x
(-28 + 33x + -9x2) = 0

Solving
-28 + 33x + -9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 3x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-7 + 3x)' equal to zero and attempt to solve:

Simplifying
-7 + 3x = 0

Solving
-7 + 3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 0 + 7
3x = 0 + 7

Combine like terms: 0 + 7 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

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

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {2.333333333, 1.333333333}

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