(3x+10)(7x+4)=

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Solution for (3x+10)(7x+4)= equation: 


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

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

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

Multiply (10 + 3x) * (4 + 7x)
(10(4 + 7x) + 3x * (4 + 7x)) = 0
((4 * 10 + 7x * 10) + 3x * (4 + 7x)) = 0
((40 + 70x) + 3x * (4 + 7x)) = 0
(40 + 70x + (4 * 3x + 7x * 3x)) = 0
(40 + 70x + (12x + 21x2)) = 0

Combine like terms: 70x + 12x = 82x
(40 + 82x + 21x2) = 0

Solving
40 + 82x + 21x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(10 + 3x)' equal to zero and attempt to solve:

Simplifying
10 + 3x = 0

Solving
10 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + 3x = 0 + -10

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {-3.333333333, -0.5714285714}

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