(4x-9)(3x-8)=28

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Solution for (4x-9)(3x-8)=28 equation: 


Simplifying
(4x + -9)(3x + -8) = 28

Reorder the terms:
(-9 + 4x)(3x + -8) = 28

Reorder the terms:
(-9 + 4x)(-8 + 3x) = 28

Multiply (-9 + 4x) * (-8 + 3x)
(-9(-8 + 3x) + 4x * (-8 + 3x)) = 28
((-8 * -9 + 3x * -9) + 4x * (-8 + 3x)) = 28
((72 + -27x) + 4x * (-8 + 3x)) = 28
(72 + -27x + (-8 * 4x + 3x * 4x)) = 28
(72 + -27x + (-32x + 12x2)) = 28

Combine like terms: -27x + -32x = -59x
(72 + -59x + 12x2) = 28

Solving
72 + -59x + 12x2 = 28

Solving for variable 'x'.

Reorder the terms:
72 + -28 + -59x + 12x2 = 28 + -28

Combine like terms: 72 + -28 = 44
44 + -59x + 12x2 = 28 + -28

Combine like terms: 28 + -28 = 0
44 + -59x + 12x2 = 0

Factor a trinomial.
(11 + -12x)(4 + -1x) = 0


Subproblem 1
Set the factor '(11 + -12x)' equal to zero and attempt to solve:

Simplifying
11 + -12x = 0

Solving
11 + -12x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -12x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -12x = 0 + -11
-12x = 0 + -11

Combine like terms: 0 + -11 = -11
-12x = -11

Divide each side by '-12'.
x = 0.9166666667

Simplifying
x = 0.9166666667

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0.9166666667, 4}

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