(16x-3)(20x-7)=0

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Solution for (16x-3)(20x-7)=0 equation: 


Simplifying
(16x + -3)(20x + -7) = 0

Reorder the terms:
(-3 + 16x)(20x + -7) = 0

Reorder the terms:
(-3 + 16x)(-7 + 20x) = 0

Multiply (-3 + 16x) * (-7 + 20x)
(-3(-7 + 20x) + 16x * (-7 + 20x)) = 0
((-7 * -3 + 20x * -3) + 16x * (-7 + 20x)) = 0
((21 + -60x) + 16x * (-7 + 20x)) = 0
(21 + -60x + (-7 * 16x + 20x * 16x)) = 0
(21 + -60x + (-112x + 320x2)) = 0

Combine like terms: -60x + -112x = -172x
(21 + -172x + 320x2) = 0

Solving
21 + -172x + 320x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -16x)(7 + -20x) = 0


Subproblem 1
Set the factor '(3 + -16x)' equal to zero and attempt to solve:

Simplifying
3 + -16x = 0

Solving
3 + -16x = 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 + -16x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = 0 + -3
-16x = 0 + -3

Combine like terms: 0 + -3 = -3
-16x = -3

Divide each side by '-16'.
x = 0.1875

Simplifying
x = 0.1875

Subproblem 2
Set the factor '(7 + -20x)' equal to zero and attempt to solve:

Simplifying
7 + -20x = 0

Solving
7 + -20x = 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 + -20x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -20x = 0 + -7
-20x = 0 + -7

Combine like terms: 0 + -7 = -7
-20x = -7

Divide each side by '-20'.
x = 0.35

Simplifying
x = 0.35
Solution
x = {0.1875, 0.35}

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