(8x-11)(10x-7)=0

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Solution for (8x-11)(10x-7)=0 equation: 


Simplifying
(8x + -11)(10x + -7) = 0

Reorder the terms:
(-11 + 8x)(10x + -7) = 0

Reorder the terms:
(-11 + 8x)(-7 + 10x) = 0

Multiply (-11 + 8x) * (-7 + 10x)
(-11(-7 + 10x) + 8x * (-7 + 10x)) = 0
((-7 * -11 + 10x * -11) + 8x * (-7 + 10x)) = 0
((77 + -110x) + 8x * (-7 + 10x)) = 0
(77 + -110x + (-7 * 8x + 10x * 8x)) = 0
(77 + -110x + (-56x + 80x2)) = 0

Combine like terms: -110x + -56x = -166x
(77 + -166x + 80x2) = 0

Solving
77 + -166x + 80x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -10x)(11 + -8x) = 0


Subproblem 1
Set the factor '(7 + -10x)' equal to zero and attempt to solve:

Simplifying
7 + -10x = 0

Solving
7 + -10x = 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 + -10x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = 0 + -7
-10x = 0 + -7

Combine like terms: 0 + -7 = -7
-10x = -7

Divide each side by '-10'.
x = 0.7

Simplifying
x = 0.7

Subproblem 2
Set the factor '(11 + -8x)' equal to zero and attempt to solve:

Simplifying
11 + -8x = 0

Solving
11 + -8x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -8x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 0 + -11
-8x = 0 + -11

Combine like terms: 0 + -11 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375
Solution
x = {0.7, 1.375}

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