0=4x^2-75x+324

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Solution for 0=4x^2-75x+324 equation: 


Simplifying
0 = 4x2 + -75x + 324

Reorder the terms:
0 = 324 + -75x + 4x2

Solving
0 = 324 + -75x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -324 = -324
-324 + 75x + -4x2 = 324 + -75x + 4x2 + -324 + 75x + -4x2

Reorder the terms:
-324 + 75x + -4x2 = 324 + -324 + -75x + 75x + 4x2 + -4x2

Combine like terms: 324 + -324 = 0
-324 + 75x + -4x2 = 0 + -75x + 75x + 4x2 + -4x2
-324 + 75x + -4x2 = -75x + 75x + 4x2 + -4x2

Combine like terms: -75x + 75x = 0
-324 + 75x + -4x2 = 0 + 4x2 + -4x2
-324 + 75x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-324 + 75x + -4x2 = 0

Factor a trinomial.
(-12 + x)(27 + -4x) = 0


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

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

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

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

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

Simplifying
x = 12

Subproblem 2
Set the factor '(27 + -4x)' equal to zero and attempt to solve:

Simplifying
27 + -4x = 0

Solving
27 + -4x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -4x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -4x = 0 + -27
-4x = 0 + -27

Combine like terms: 0 + -27 = -27
-4x = -27

Divide each side by '-4'.
x = 6.75

Simplifying
x = 6.75
Solution
x = {12, 6.75}

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