=(3x+40)(2x+20)

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Solution for =(3x+40)(2x+20) equation: 


Simplifying
0 = (3x + 40)(2x + 20)

Reorder the terms:
0 = (40 + 3x)(2x + 20)

Reorder the terms:
0 = (40 + 3x)(20 + 2x)

Multiply (40 + 3x) * (20 + 2x)
0 = (40(20 + 2x) + 3x * (20 + 2x))
0 = ((20 * 40 + 2x * 40) + 3x * (20 + 2x))
0 = ((800 + 80x) + 3x * (20 + 2x))
0 = (800 + 80x + (20 * 3x + 2x * 3x))
0 = (800 + 80x + (60x + 6x2))

Combine like terms: 80x + 60x = 140x
0 = (800 + 140x + 6x2)

Solving
0 = 800 + 140x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -800 = -800
-800 + -140x + -6x2 = 800 + 140x + 6x2 + -800 + -140x + -6x2

Reorder the terms:
-800 + -140x + -6x2 = 800 + -800 + 140x + -140x + 6x2 + -6x2

Combine like terms: 800 + -800 = 0
-800 + -140x + -6x2 = 0 + 140x + -140x + 6x2 + -6x2
-800 + -140x + -6x2 = 140x + -140x + 6x2 + -6x2

Combine like terms: 140x + -140x = 0
-800 + -140x + -6x2 = 0 + 6x2 + -6x2
-800 + -140x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-800 + -140x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(400 + 70x + 3x2) = 0

Factor a trinomial.
-2((40 + 3x)(10 + x)) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(40 + 3x)' equal to zero and attempt to solve:

Simplifying
40 + 3x = 0

Solving
40 + 3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + 3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 0 + -40
3x = 0 + -40

Combine like terms: 0 + -40 = -40
3x = -40

Divide each side by '3'.
x = -13.33333333

Simplifying
x = -13.33333333

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

Simplifying
10 + x = 0

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

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

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

Simplifying
x = -10
Solution
x = {-13.33333333, -10}

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