(4x^2-5x-4)(6X+9)=0

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Solution for (4x^2-5x-4)(6X+9)=0 equation: 


Simplifying
(4x2 + -5x + -4)(6X + 9) = 0

Reorder the terms:
(-4 + -5x + 4x2)(6X + 9) = 0

Reorder the terms:
(-4 + -5x + 4x2)(9 + 6X) = 0

Multiply (-4 + -5x + 4x2) * (9 + 6X)
(-4(9 + 6X) + -5x * (9 + 6X) + 4x2 * (9 + 6X)) = 0
((9 * -4 + 6X * -4) + -5x * (9 + 6X) + 4x2 * (9 + 6X)) = 0
((-36 + -24X) + -5x * (9 + 6X) + 4x2 * (9 + 6X)) = 0
(-36 + -24X + (9 * -5x + 6X * -5x) + 4x2 * (9 + 6X)) = 0
(-36 + -24X + (-45x + -30xX) + 4x2 * (9 + 6X)) = 0
(-36 + -24X + -45x + -30xX + (9 * 4x2 + 6X * 4x2)) = 0
(-36 + -24X + -45x + -30xX + (36x2 + 24x2X)) = 0
(-36 + -24X + -45x + -30xX + 36x2 + 24x2X) = 0

Solving
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 0

Solving for variable 'X'.

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

Add '36' to each side of the equation.
-36 + -24X + -45x + -30xX + 36x2 + 36 + 24x2X = 0 + 36

Reorder the terms:
-36 + 36 + -24X + -45x + -30xX + 36x2 + 24x2X = 0 + 36

Combine like terms: -36 + 36 = 0
0 + -24X + -45x + -30xX + 36x2 + 24x2X = 0 + 36
-24X + -45x + -30xX + 36x2 + 24x2X = 0 + 36

Combine like terms: 0 + 36 = 36
-24X + -45x + -30xX + 36x2 + 24x2X = 36

Add '45x' to each side of the equation.
-24X + -45x + -30xX + 36x2 + 45x + 24x2X = 36 + 45x

Reorder the terms:
-24X + -45x + 45x + -30xX + 36x2 + 24x2X = 36 + 45x

Combine like terms: -45x + 45x = 0
-24X + 0 + -30xX + 36x2 + 24x2X = 36 + 45x
-24X + -30xX + 36x2 + 24x2X = 36 + 45x

Add '-36x2' to each side of the equation.
-24X + -30xX + 36x2 + -36x2 + 24x2X = 36 + 45x + -36x2

Combine like terms: 36x2 + -36x2 = 0
-24X + -30xX + 0 + 24x2X = 36 + 45x + -36x2
-24X + -30xX + 24x2X = 36 + 45x + -36x2

Reorder the terms:
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 36 + 45x + -36x2 + -36 + -45x + 36x2

Reorder the terms:
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 36 + -36 + 45x + -45x + -36x2 + 36x2

Combine like terms: 36 + -36 = 0
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 0 + 45x + -45x + -36x2 + 36x2
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 45x + -45x + -36x2 + 36x2

Combine like terms: 45x + -45x = 0
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 0 + -36x2 + 36x2
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = -36x2 + 36x2

Combine like terms: -36x2 + 36x2 = 0
-36 + -24X + -45x + -30xX + 36x2 + 24x2X = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -8X + -15x + -10xX + 12x2 + 8x2X) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-12 + -8X + -15x + -10xX + 12x2 + 8x2X)' equal to zero and attempt to solve:

Simplifying
-12 + -8X + -15x + -10xX + 12x2 + 8x2X = 0

Solving
-12 + -8X + -15x + -10xX + 12x2 + 8x2X = 0

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

Add '12' to each side of the equation.
-12 + -8X + -15x + -10xX + 12x2 + 12 + 8x2X = 0 + 12

Reorder the terms:
-12 + 12 + -8X + -15x + -10xX + 12x2 + 8x2X = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -8X + -15x + -10xX + 12x2 + 8x2X = 0 + 12
-8X + -15x + -10xX + 12x2 + 8x2X = 0 + 12

Combine like terms: 0 + 12 = 12
-8X + -15x + -10xX + 12x2 + 8x2X = 12

Add '15x' to each side of the equation.
-8X + -15x + -10xX + 12x2 + 15x + 8x2X = 12 + 15x

Reorder the terms:
-8X + -15x + 15x + -10xX + 12x2 + 8x2X = 12 + 15x

Combine like terms: -15x + 15x = 0
-8X + 0 + -10xX + 12x2 + 8x2X = 12 + 15x
-8X + -10xX + 12x2 + 8x2X = 12 + 15x

Add '-12x2' to each side of the equation.
-8X + -10xX + 12x2 + -12x2 + 8x2X = 12 + 15x + -12x2

Combine like terms: 12x2 + -12x2 = 0
-8X + -10xX + 0 + 8x2X = 12 + 15x + -12x2
-8X + -10xX + 8x2X = 12 + 15x + -12x2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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