(5x-3)*(7x-4)=

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Solution for (5x-3)*(7x-4)= equation: 


Simplifying
(5x + -3)(7x + -4) = 0

Reorder the terms:
(-3 + 5x)(7x + -4) = 0

Reorder the terms:
(-3 + 5x)(-4 + 7x) = 0

Multiply (-3 + 5x) * (-4 + 7x)
(-3(-4 + 7x) + 5x * (-4 + 7x)) = 0
((-4 * -3 + 7x * -3) + 5x * (-4 + 7x)) = 0
((12 + -21x) + 5x * (-4 + 7x)) = 0
(12 + -21x + (-4 * 5x + 7x * 5x)) = 0
(12 + -21x + (-20x + 35x2)) = 0

Combine like terms: -21x + -20x = -41x
(12 + -41x + 35x2) = 0

Solving
12 + -41x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(3 + -5x) = 0


Subproblem 1
Set the factor '(4 + -7x)' equal to zero and attempt to solve:

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 0 + -4
-7x = 0 + -4

Combine like terms: 0 + -4 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {0.5714285714, 0.6}

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