(5x-9)(4x-3)=0

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Solution for (5x-9)(4x-3)=0 equation: 


Simplifying
(5x + -9)(4x + -3) = 0

Reorder the terms:
(-9 + 5x)(4x + -3) = 0

Reorder the terms:
(-9 + 5x)(-3 + 4x) = 0

Multiply (-9 + 5x) * (-3 + 4x)
(-9(-3 + 4x) + 5x * (-3 + 4x)) = 0
((-3 * -9 + 4x * -9) + 5x * (-3 + 4x)) = 0
((27 + -36x) + 5x * (-3 + 4x)) = 0
(27 + -36x + (-3 * 5x + 4x * 5x)) = 0
(27 + -36x + (-15x + 20x2)) = 0

Combine like terms: -36x + -15x = -51x
(27 + -51x + 20x2) = 0

Solving
27 + -51x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(9 + -5x) = 0


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {0.75, 1.8}

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