(5x-6)(4x-7)=

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Solution for (5x-6)(4x-7)= equation: 


Simplifying
(5x + -6)(4x + -7) = 0

Reorder the terms:
(-6 + 5x)(4x + -7) = 0

Reorder the terms:
(-6 + 5x)(-7 + 4x) = 0

Multiply (-6 + 5x) * (-7 + 4x)
(-6(-7 + 4x) + 5x * (-7 + 4x)) = 0
((-7 * -6 + 4x * -6) + 5x * (-7 + 4x)) = 0
((42 + -24x) + 5x * (-7 + 4x)) = 0
(42 + -24x + (-7 * 5x + 4x * 5x)) = 0
(42 + -24x + (-35x + 20x2)) = 0

Combine like terms: -24x + -35x = -59x
(42 + -59x + 20x2) = 0

Solving
42 + -59x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -5x)(7 + -4x) = 0


Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

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

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

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {1.2, 1.75}

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