(5x-7)(x-3)=0

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Solution for (5x-7)(x-3)=0 equation: 


Simplifying
(5x + -7)(x + -3) = 0

Reorder the terms:
(-7 + 5x)(x + -3) = 0

Reorder the terms:
(-7 + 5x)(-3 + x) = 0

Multiply (-7 + 5x) * (-3 + x)
(-7(-3 + x) + 5x * (-3 + x)) = 0
((-3 * -7 + x * -7) + 5x * (-3 + x)) = 0
((21 + -7x) + 5x * (-3 + x)) = 0
(21 + -7x + (-3 * 5x + x * 5x)) = 0
(21 + -7x + (-15x + 5x2)) = 0

Combine like terms: -7x + -15x = -22x
(21 + -22x + 5x2) = 0

Solving
21 + -22x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -5x)(3 + -1x) = 0


Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.4, 3}

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