(5x-2)(6x-3)=

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Solution for (5x-2)(6x-3)= equation: 


Simplifying
(5x + -2)(6x + -3) = 0

Reorder the terms:
(-2 + 5x)(6x + -3) = 0

Reorder the terms:
(-2 + 5x)(-3 + 6x) = 0

Multiply (-2 + 5x) * (-3 + 6x)
(-2(-3 + 6x) + 5x * (-3 + 6x)) = 0
((-3 * -2 + 6x * -2) + 5x * (-3 + 6x)) = 0
((6 + -12x) + 5x * (-3 + 6x)) = 0
(6 + -12x + (-3 * 5x + 6x * 5x)) = 0
(6 + -12x + (-15x + 30x2)) = 0

Combine like terms: -12x + -15x = -27x
(6 + -27x + 30x2) = 0

Solving
6 + -27x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -9x + 10x2) = 0

Factor a trinomial.
3((2 + -5x)(1 + -2x)) = 0

Ignore the factor 3.

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

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

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

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

Simplifying
x = 0.4

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0.4, 0.5}

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