3(5x-1)(4x-5)=

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Solution for 3(5x-1)(4x-5)= equation: 


Simplifying
3(5x + -1)(4x + -5) = 0

Reorder the terms:
3(-1 + 5x)(4x + -5) = 0

Reorder the terms:
3(-1 + 5x)(-5 + 4x) = 0

Multiply (-1 + 5x) * (-5 + 4x)
3(-1(-5 + 4x) + 5x * (-5 + 4x)) = 0
3((-5 * -1 + 4x * -1) + 5x * (-5 + 4x)) = 0
3((5 + -4x) + 5x * (-5 + 4x)) = 0
3(5 + -4x + (-5 * 5x + 4x * 5x)) = 0
3(5 + -4x + (-25x + 20x2)) = 0

Combine like terms: -4x + -25x = -29x
3(5 + -29x + 20x2) = 0
(5 * 3 + -29x * 3 + 20x2 * 3) = 0
(15 + -87x + 60x2) = 0

Solving
15 + -87x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -29x + 20x2) = 0

Factor a trinomial.
3((1 + -5x)(5 + -4x)) = 0

Ignore the factor 3.

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0.2, 1.25}

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