(4x-9)(3x-7)=

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Solution for (4x-9)(3x-7)= equation: 


Simplifying
(4x + -9)(3x + -7) = 0

Reorder the terms:
(-9 + 4x)(3x + -7) = 0

Reorder the terms:
(-9 + 4x)(-7 + 3x) = 0

Multiply (-9 + 4x) * (-7 + 3x)
(-9(-7 + 3x) + 4x * (-7 + 3x)) = 0
((-7 * -9 + 3x * -9) + 4x * (-7 + 3x)) = 0
((63 + -27x) + 4x * (-7 + 3x)) = 0
(63 + -27x + (-7 * 4x + 3x * 4x)) = 0
(63 + -27x + (-28x + 12x2)) = 0

Combine like terms: -27x + -28x = -55x
(63 + -55x + 12x2) = 0

Solving
63 + -55x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -4x)(7 + -3x) = 0


Subproblem 1
Set the factor '(9 + -4x)' equal to zero and attempt to solve:

Simplifying
9 + -4x = 0

Solving
9 + -4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 0 + -9
-4x = 0 + -9

Combine like terms: 0 + -9 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {2.25, 2.333333333}

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