(6x-3)(4x+33)=

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Solution for (6x-3)(4x+33)= equation: 


Simplifying
(6x + -3)(4x + 33) = 0

Reorder the terms:
(-3 + 6x)(4x + 33) = 0

Reorder the terms:
(-3 + 6x)(33 + 4x) = 0

Multiply (-3 + 6x) * (33 + 4x)
(-3(33 + 4x) + 6x * (33 + 4x)) = 0
((33 * -3 + 4x * -3) + 6x * (33 + 4x)) = 0
((-99 + -12x) + 6x * (33 + 4x)) = 0
(-99 + -12x + (33 * 6x + 4x * 6x)) = 0
(-99 + -12x + (198x + 24x2)) = 0

Combine like terms: -12x + 198x = 186x
(-99 + 186x + 24x2) = 0

Solving
-99 + 186x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-33 + 62x + 8x2) = 0

Factor a trinomial.
3((-33 + -4x)(1 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-33 + -4x)' equal to zero and attempt to solve:

Simplifying
-33 + -4x = 0

Solving
-33 + -4x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -4x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -4x = 0 + 33
-4x = 0 + 33

Combine like terms: 0 + 33 = 33
-4x = 33

Divide each side by '-4'.
x = -8.25

Simplifying
x = -8.25

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-8.25, 0.5}

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