3(7x+1)(4x-5)=

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Solution for 3(7x+1)(4x-5)= equation: 


Simplifying
3(7x + 1)(4x + -5) = 0

Reorder the terms:
3(1 + 7x)(4x + -5) = 0

Reorder the terms:
3(1 + 7x)(-5 + 4x) = 0

Multiply (1 + 7x) * (-5 + 4x)
3(1(-5 + 4x) + 7x * (-5 + 4x)) = 0
3((-5 * 1 + 4x * 1) + 7x * (-5 + 4x)) = 0
3((-5 + 4x) + 7x * (-5 + 4x)) = 0
3(-5 + 4x + (-5 * 7x + 4x * 7x)) = 0
3(-5 + 4x + (-35x + 28x2)) = 0

Combine like terms: 4x + -35x = -31x
3(-5 + -31x + 28x2) = 0
(-5 * 3 + -31x * 3 + 28x2 * 3) = 0
(-15 + -93x + 84x2) = 0

Solving
-15 + -93x + 84x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + -31x + 28x2) = 0

Factor a trinomial.
3((-1 + -7x)(5 + -4x)) = 0

Ignore the factor 3.

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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-0.1428571429, 1.25}

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