(3-4x)2(3-5x)2=

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Solution for (3-4x)2(3-5x)2= equation: 


Simplifying
(3 + -4x) * 2(3 + -5x) * 2 = 0

Reorder the terms for easier multiplication:
2 * 2(3 + -4x)(3 + -5x) = 0

Multiply 2 * 2
4(3 + -4x)(3 + -5x) = 0

Multiply (3 + -4x) * (3 + -5x)
4(3(3 + -5x) + -4x * (3 + -5x)) = 0
4((3 * 3 + -5x * 3) + -4x * (3 + -5x)) = 0
4((9 + -15x) + -4x * (3 + -5x)) = 0
4(9 + -15x + (3 * -4x + -5x * -4x)) = 0
4(9 + -15x + (-12x + 20x2)) = 0

Combine like terms: -15x + -12x = -27x
4(9 + -27x + 20x2) = 0
(9 * 4 + -27x * 4 + 20x2 * 4) = 0
(36 + -108x + 80x2) = 0

Solving
36 + -108x + 80x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -27x + 20x2) = 0

Factor a trinomial.
4((3 + -5x)(3 + -4x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

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

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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 = {0.6, 0.75}

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