4(7x-2)(3x-1)=

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Solution for 4(7x-2)(3x-1)= equation: 


Simplifying
4(7x + -2)(3x + -1) = 0

Reorder the terms:
4(-2 + 7x)(3x + -1) = 0

Reorder the terms:
4(-2 + 7x)(-1 + 3x) = 0

Multiply (-2 + 7x) * (-1 + 3x)
4(-2(-1 + 3x) + 7x * (-1 + 3x)) = 0
4((-1 * -2 + 3x * -2) + 7x * (-1 + 3x)) = 0
4((2 + -6x) + 7x * (-1 + 3x)) = 0
4(2 + -6x + (-1 * 7x + 3x * 7x)) = 0
4(2 + -6x + (-7x + 21x2)) = 0

Combine like terms: -6x + -7x = -13x
4(2 + -13x + 21x2) = 0
(2 * 4 + -13x * 4 + 21x2 * 4) = 0
(8 + -52x + 84x2) = 0

Solving
8 + -52x + 84x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -13x + 21x2) = 0

Factor a trinomial.
4((2 + -7x)(1 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0.2857142857, 0.3333333333}

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