(5x-3)(6x-4)=

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Solution for (5x-3)(6x-4)= equation: 


Simplifying
(5x + -3)(6x + -4) = 0

Reorder the terms:
(-3 + 5x)(6x + -4) = 0

Reorder the terms:
(-3 + 5x)(-4 + 6x) = 0

Multiply (-3 + 5x) * (-4 + 6x)
(-3(-4 + 6x) + 5x * (-4 + 6x)) = 0
((-4 * -3 + 6x * -3) + 5x * (-4 + 6x)) = 0
((12 + -18x) + 5x * (-4 + 6x)) = 0
(12 + -18x + (-4 * 5x + 6x * 5x)) = 0
(12 + -18x + (-20x + 30x2)) = 0

Combine like terms: -18x + -20x = -38x
(12 + -38x + 30x2) = 0

Solving
12 + -38x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -19x + 15x2) = 0

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

Ignore the factor 2.

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 '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

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

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

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

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

Simplifying
x = 0.6666666667
Solution
x = {0.6, 0.6666666667}

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