(5x-9)(2x-7)=0

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Solution for (5x-9)(2x-7)=0 equation: 


Simplifying
(5x + -9)(2x + -7) = 0

Reorder the terms:
(-9 + 5x)(2x + -7) = 0

Reorder the terms:
(-9 + 5x)(-7 + 2x) = 0

Multiply (-9 + 5x) * (-7 + 2x)
(-9(-7 + 2x) + 5x * (-7 + 2x)) = 0
((-7 * -9 + 2x * -9) + 5x * (-7 + 2x)) = 0
((63 + -18x) + 5x * (-7 + 2x)) = 0
(63 + -18x + (-7 * 5x + 2x * 5x)) = 0
(63 + -18x + (-35x + 10x2)) = 0

Combine like terms: -18x + -35x = -53x
(63 + -53x + 10x2) = 0

Solving
63 + -53x + 10x2 = 0

Solving for variable 'x'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1.8, 3.5}

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