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

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


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

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

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

Multiply (-5 + 4x) * (-4 + 7x)
(-5(-4 + 7x) + 4x * (-4 + 7x)) = 0
((-4 * -5 + 7x * -5) + 4x * (-4 + 7x)) = 0
((20 + -35x) + 4x * (-4 + 7x)) = 0
(20 + -35x + (-4 * 4x + 7x * 4x)) = 0
(20 + -35x + (-16x + 28x2)) = 0

Combine like terms: -35x + -16x = -51x
(20 + -51x + 28x2) = 0

Solving
20 + -51x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -7x)(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {0.5714285714, 1.25}

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