(2x+60)(3x+70)=

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Solution for (2x+60)(3x+70)= equation: 


Simplifying
(2x + 60)(3x + 70) = 0

Reorder the terms:
(60 + 2x)(3x + 70) = 0

Reorder the terms:
(60 + 2x)(70 + 3x) = 0

Multiply (60 + 2x) * (70 + 3x)
(60(70 + 3x) + 2x * (70 + 3x)) = 0
((70 * 60 + 3x * 60) + 2x * (70 + 3x)) = 0
((4200 + 180x) + 2x * (70 + 3x)) = 0
(4200 + 180x + (70 * 2x + 3x * 2x)) = 0
(4200 + 180x + (140x + 6x2)) = 0

Combine like terms: 180x + 140x = 320x
(4200 + 320x + 6x2) = 0

Solving
4200 + 320x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2100 + 160x + 3x2) = 0

Factor a trinomial.
2((30 + x)(70 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(30 + x)' equal to zero and attempt to solve:

Simplifying
30 + x = 0

Solving
30 + x = 0

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

Add '-30' to each side of the equation.
30 + -30 + x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + x = 0 + -30
x = 0 + -30

Combine like terms: 0 + -30 = -30
x = -30

Simplifying
x = -30

Subproblem 2
Set the factor '(70 + 3x)' equal to zero and attempt to solve:

Simplifying
70 + 3x = 0

Solving
70 + 3x = 0

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

Add '-70' to each side of the equation.
70 + -70 + 3x = 0 + -70

Combine like terms: 70 + -70 = 0
0 + 3x = 0 + -70
3x = 0 + -70

Combine like terms: 0 + -70 = -70
3x = -70

Divide each side by '3'.
x = -23.33333333

Simplifying
x = -23.33333333
Solution
x = {-30, -23.33333333}

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