(5r-2)(6r-4)=

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Solution for (5r-2)(6r-4)= equation: 


Simplifying
(5r + -2)(6r + -4) = 0

Reorder the terms:
(-2 + 5r)(6r + -4) = 0

Reorder the terms:
(-2 + 5r)(-4 + 6r) = 0

Multiply (-2 + 5r) * (-4 + 6r)
(-2(-4 + 6r) + 5r * (-4 + 6r)) = 0
((-4 * -2 + 6r * -2) + 5r * (-4 + 6r)) = 0
((8 + -12r) + 5r * (-4 + 6r)) = 0
(8 + -12r + (-4 * 5r + 6r * 5r)) = 0
(8 + -12r + (-20r + 30r2)) = 0

Combine like terms: -12r + -20r = -32r
(8 + -32r + 30r2) = 0

Solving
8 + -32r + 30r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16r + 15r2) = 0

Factor a trinomial.
2((2 + -5r)(2 + -3r)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -5r)' equal to zero and attempt to solve:

Simplifying
2 + -5r = 0

Solving
2 + -5r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5r = 0 + -2
-5r = 0 + -2

Combine like terms: 0 + -2 = -2
-5r = -2

Divide each side by '-5'.
r = 0.4

Simplifying
r = 0.4

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

Simplifying
2 + -3r = 0

Solving
2 + -3r = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3r = 0 + -2
-3r = 0 + -2

Combine like terms: 0 + -2 = -2
-3r = -2

Divide each side by '-3'.
r = 0.6666666667

Simplifying
r = 0.6666666667
Solution
r = {0.4, 0.6666666667}

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