(5x-12)*(5x-1)=

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Solution for (5x-12)*(5x-1)= equation: 


Simplifying
(5x + -12)(5x + -1) = 0

Reorder the terms:
(-12 + 5x)(5x + -1) = 0

Reorder the terms:
(-12 + 5x)(-1 + 5x) = 0

Multiply (-12 + 5x) * (-1 + 5x)
(-12(-1 + 5x) + 5x * (-1 + 5x)) = 0
((-1 * -12 + 5x * -12) + 5x * (-1 + 5x)) = 0
((12 + -60x) + 5x * (-1 + 5x)) = 0
(12 + -60x + (-1 * 5x + 5x * 5x)) = 0
(12 + -60x + (-5x + 25x2)) = 0

Combine like terms: -60x + -5x = -65x
(12 + -65x + 25x2) = 0

Solving
12 + -65x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -5x)(12 + -5x) = 0


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 '(12 + -5x)' equal to zero and attempt to solve:

Simplifying
12 + -5x = 0

Solving
12 + -5x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 0 + -12
-5x = 0 + -12

Combine like terms: 0 + -12 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4
Solution
x = {0.2, 2.4}

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