3(2x-3)(7x-5)=

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Solution for 3(2x-3)(7x-5)= equation: 


Simplifying
3(2x + -3)(7x + -5) = 0

Reorder the terms:
3(-3 + 2x)(7x + -5) = 0

Reorder the terms:
3(-3 + 2x)(-5 + 7x) = 0

Multiply (-3 + 2x) * (-5 + 7x)
3(-3(-5 + 7x) + 2x * (-5 + 7x)) = 0
3((-5 * -3 + 7x * -3) + 2x * (-5 + 7x)) = 0
3((15 + -21x) + 2x * (-5 + 7x)) = 0
3(15 + -21x + (-5 * 2x + 7x * 2x)) = 0
3(15 + -21x + (-10x + 14x2)) = 0

Combine like terms: -21x + -10x = -31x
3(15 + -31x + 14x2) = 0
(15 * 3 + -31x * 3 + 14x2 * 3) = 0
(45 + -93x + 42x2) = 0

Solving
45 + -93x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(15 + -31x + 14x2) = 0

Factor a trinomial.
3((5 + -7x)(3 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

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

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.7142857143, 1.5}

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