4(7x-1)(10x-3)=0

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Solution for 4(7x-1)(10x-3)=0 equation: 


Simplifying
4(7x + -1)(10x + -3) = 0

Reorder the terms:
4(-1 + 7x)(10x + -3) = 0

Reorder the terms:
4(-1 + 7x)(-3 + 10x) = 0

Multiply (-1 + 7x) * (-3 + 10x)
4(-1(-3 + 10x) + 7x * (-3 + 10x)) = 0
4((-3 * -1 + 10x * -1) + 7x * (-3 + 10x)) = 0
4((3 + -10x) + 7x * (-3 + 10x)) = 0
4(3 + -10x + (-3 * 7x + 10x * 7x)) = 0
4(3 + -10x + (-21x + 70x2)) = 0

Combine like terms: -10x + -21x = -31x
4(3 + -31x + 70x2) = 0
(3 * 4 + -31x * 4 + 70x2 * 4) = 0
(12 + -124x + 280x2) = 0

Solving
12 + -124x + 280x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -31x + 70x2) = 0

Factor a trinomial.
4((1 + -7x)(3 + -10x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {0.1428571429, 0.3}

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