(5x-8)(9x-14)=0

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Solution for (5x-8)(9x-14)=0 equation: 


Simplifying
(5x + -8)(9x + -14) = 0

Reorder the terms:
(-8 + 5x)(9x + -14) = 0

Reorder the terms:
(-8 + 5x)(-14 + 9x) = 0

Multiply (-8 + 5x) * (-14 + 9x)
(-8(-14 + 9x) + 5x * (-14 + 9x)) = 0
((-14 * -8 + 9x * -8) + 5x * (-14 + 9x)) = 0
((112 + -72x) + 5x * (-14 + 9x)) = 0
(112 + -72x + (-14 * 5x + 9x * 5x)) = 0
(112 + -72x + (-70x + 45x2)) = 0

Combine like terms: -72x + -70x = -142x
(112 + -142x + 45x2) = 0

Solving
112 + -142x + 45x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(14 + -9x)(8 + -5x) = 0


Subproblem 1
Set the factor '(14 + -9x)' equal to zero and attempt to solve:

Simplifying
14 + -9x = 0

Solving
14 + -9x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -9x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -9x = 0 + -14
-9x = 0 + -14

Combine like terms: 0 + -14 = -14
-9x = -14

Divide each side by '-9'.
x = 1.555555556

Simplifying
x = 1.555555556

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {1.555555556, 1.6}

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