(3x-10)(7x+2)=

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Solution for (3x-10)(7x+2)= equation: 


Simplifying
(3x + -10)(7x + 2) = 0

Reorder the terms:
(-10 + 3x)(7x + 2) = 0

Reorder the terms:
(-10 + 3x)(2 + 7x) = 0

Multiply (-10 + 3x) * (2 + 7x)
(-10(2 + 7x) + 3x * (2 + 7x)) = 0
((2 * -10 + 7x * -10) + 3x * (2 + 7x)) = 0
((-20 + -70x) + 3x * (2 + 7x)) = 0
(-20 + -70x + (2 * 3x + 7x * 3x)) = 0
(-20 + -70x + (6x + 21x2)) = 0

Combine like terms: -70x + 6x = -64x
(-20 + -64x + 21x2) = 0

Solving
-20 + -64x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -7x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-2 + -7x)' equal to zero and attempt to solve:

Simplifying
-2 + -7x = 0

Solving
-2 + -7x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = 0 + 2
-7x = 0 + 2

Combine like terms: 0 + 2 = 2
-7x = 2

Divide each side by '-7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

Subproblem 2
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
Solution
x = {-0.2857142857, 3.333333333}

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