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

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


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

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

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

Multiply (1 + 5x) * (5 + 4x)
3(1(5 + 4x) + 5x * (5 + 4x)) = 0
3((5 * 1 + 4x * 1) + 5x * (5 + 4x)) = 0
3((5 + 4x) + 5x * (5 + 4x)) = 0
3(5 + 4x + (5 * 5x + 4x * 5x)) = 0
3(5 + 4x + (25x + 20x2)) = 0

Combine like terms: 4x + 25x = 29x
3(5 + 29x + 20x2) = 0
(5 * 3 + 29x * 3 + 20x2 * 3) = 0
(15 + 87x + 60x2) = 0

Solving
15 + 87x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + 29x + 20x2) = 0

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

Ignore the factor 3.

Subproblem 1
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

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

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-1.25, -0.2}

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