4x(3x-16)=3(4x-33)

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Solution for 4x(3x-16)=3(4x-33) equation: 


Simplifying
4x(3x + -16) = 3(4x + -33)

Reorder the terms:
4x(-16 + 3x) = 3(4x + -33)
(-16 * 4x + 3x * 4x) = 3(4x + -33)
(-64x + 12x2) = 3(4x + -33)

Reorder the terms:
-64x + 12x2 = 3(-33 + 4x)
-64x + 12x2 = (-33 * 3 + 4x * 3)
-64x + 12x2 = (-99 + 12x)

Solving
-64x + 12x2 = -99 + 12x

Solving for variable 'x'.

Reorder the terms:
99 + -64x + -12x + 12x2 = -99 + 12x + 99 + -12x

Combine like terms: -64x + -12x = -76x
99 + -76x + 12x2 = -99 + 12x + 99 + -12x

Reorder the terms:
99 + -76x + 12x2 = -99 + 99 + 12x + -12x

Combine like terms: -99 + 99 = 0
99 + -76x + 12x2 = 0 + 12x + -12x
99 + -76x + 12x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
99 + -76x + 12x2 = 0

Factor a trinomial.
(11 + -6x)(9 + -2x) = 0


Subproblem 1
Set the factor '(11 + -6x)' equal to zero and attempt to solve:

Simplifying
11 + -6x = 0

Solving
11 + -6x = 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 + -6x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = 0 + -11
-6x = 0 + -11

Combine like terms: 0 + -11 = -11
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {1.833333333, 4.5}

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