(9x-7)(8x-10)=

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Solution for (9x-7)(8x-10)= equation: 


Simplifying
(9x + -7)(8x + -10) = 0

Reorder the terms:
(-7 + 9x)(8x + -10) = 0

Reorder the terms:
(-7 + 9x)(-10 + 8x) = 0

Multiply (-7 + 9x) * (-10 + 8x)
(-7(-10 + 8x) + 9x * (-10 + 8x)) = 0
((-10 * -7 + 8x * -7) + 9x * (-10 + 8x)) = 0
((70 + -56x) + 9x * (-10 + 8x)) = 0
(70 + -56x + (-10 * 9x + 8x * 9x)) = 0
(70 + -56x + (-90x + 72x2)) = 0

Combine like terms: -56x + -90x = -146x
(70 + -146x + 72x2) = 0

Solving
70 + -146x + 72x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(35 + -73x + 36x2) = 0

Factor a trinomial.
2((7 + -9x)(5 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve:

Simplifying
7 + -9x = 0

Solving
7 + -9x = 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 + -9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9x = 0 + -7
-9x = 0 + -7

Combine like terms: 0 + -7 = -7
-9x = -7

Divide each side by '-9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0.7777777778, 1.25}

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