(3x-7)(-10-11x)=

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Solution for (3x-7)(-10-11x)= equation:


Simplifying
(3x + -7)(-10 + -11x) = 0

Reorder the terms:
(-7 + 3x)(-10 + -11x) = 0

Multiply (-7 + 3x) * (-10 + -11x)
(-7(-10 + -11x) + 3x * (-10 + -11x)) = 0
((-10 * -7 + -11x * -7) + 3x * (-10 + -11x)) = 0
((70 + 77x) + 3x * (-10 + -11x)) = 0
(70 + 77x + (-10 * 3x + -11x * 3x)) = 0
(70 + 77x + (-30x + -33x2)) = 0

Combine like terms: 77x + -30x = 47x
(70 + 47x + -33x2) = 0

Solving
70 + 47x + -33x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -3x)(10 + 11x) = 0


Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333

Subproblem 2
Set the factor '(10 + 11x)' equal to zero and attempt to solve:

Simplifying
10 + 11x = 0

Solving
10 + 11x = 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 + 11x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = 0 + -10
11x = 0 + -10

Combine like terms: 0 + -10 = -10
11x = -10

Divide each side by '11'.
x = -0.9090909091

Simplifying
x = -0.9090909091
Solution
x = {2.333333333, -0.9090909091}

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