36x^2-96x-64-30x-40+4=0

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Solution for 36x^2-96x-64-30x-40+4=0 equation: 


Simplifying
36x2 + -96x + -64 + -30x + -40 + 4 = 0

Reorder the terms:
-64 + -40 + 4 + -96x + -30x + 36x2 = 0

Combine like terms: -64 + -40 = -104
-104 + 4 + -96x + -30x + 36x2 = 0

Combine like terms: -104 + 4 = -100
-100 + -96x + -30x + 36x2 = 0

Combine like terms: -96x + -30x = -126x
-100 + -126x + 36x2 = 0

Solving
-100 + -126x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-50 + -63x + 18x2) = 0

Factor a trinomial.
2((-2 + -3x)(25 + -6x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
Set the factor '(25 + -6x)' equal to zero and attempt to solve:

Simplifying
25 + -6x = 0

Solving
25 + -6x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -6x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -6x = 0 + -25
-6x = 0 + -25

Combine like terms: 0 + -25 = -25
-6x = -25

Divide each side by '-6'.
x = 4.166666667

Simplifying
x = 4.166666667
Solution
x = {-0.6666666667, 4.166666667}

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