(11x-10)(7x-2)=0

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Solution for (11x-10)(7x-2)=0 equation: 


Simplifying
(11x + -10)(7x + -2) = 0

Reorder the terms:
(-10 + 11x)(7x + -2) = 0

Reorder the terms:
(-10 + 11x)(-2 + 7x) = 0

Multiply (-10 + 11x) * (-2 + 7x)
(-10(-2 + 7x) + 11x * (-2 + 7x)) = 0
((-2 * -10 + 7x * -10) + 11x * (-2 + 7x)) = 0
((20 + -70x) + 11x * (-2 + 7x)) = 0
(20 + -70x + (-2 * 11x + 7x * 11x)) = 0
(20 + -70x + (-22x + 77x2)) = 0

Combine like terms: -70x + -22x = -92x
(20 + -92x + 77x2) = 0

Solving
20 + -92x + 77x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x)(10 + -11x) = 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 + -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 = {0.2857142857, 0.9090909091}

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