(-8x+13)(-11x+10)=0

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Solution for (-8x+13)(-11x+10)=0 equation: 


Simplifying
(-8x + 13)(-11x + 10) = 0

Reorder the terms:
(13 + -8x)(-11x + 10) = 0

Reorder the terms:
(13 + -8x)(10 + -11x) = 0

Multiply (13 + -8x) * (10 + -11x)
(13(10 + -11x) + -8x * (10 + -11x)) = 0
((10 * 13 + -11x * 13) + -8x * (10 + -11x)) = 0
((130 + -143x) + -8x * (10 + -11x)) = 0
(130 + -143x + (10 * -8x + -11x * -8x)) = 0
(130 + -143x + (-80x + 88x2)) = 0

Combine like terms: -143x + -80x = -223x
(130 + -223x + 88x2) = 0

Solving
130 + -223x + 88x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(10 + -11x)(13 + -8x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(13 + -8x)' equal to zero and attempt to solve:

Simplifying
13 + -8x = 0

Solving
13 + -8x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -8x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -8x = 0 + -13
-8x = 0 + -13

Combine like terms: 0 + -13 = -13
-8x = -13

Divide each side by '-8'.
x = 1.625

Simplifying
x = 1.625
Solution
x = {0.9090909091, 1.625}

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