(X+3)(12y^2+100y-72)=

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Solution for (X+3)(12y^2+100y-72)= equation:


Simplifying
(X + 3)(12y2 + 100y + -72) = 0

Reorder the terms:
(3 + X)(12y2 + 100y + -72) = 0

Reorder the terms:
(3 + X)(-72 + 100y + 12y2) = 0

Multiply (3 + X) * (-72 + 100y + 12y2)
(3(-72 + 100y + 12y2) + X(-72 + 100y + 12y2)) = 0
((-72 * 3 + 100y * 3 + 12y2 * 3) + X(-72 + 100y + 12y2)) = 0
((-216 + 300y + 36y2) + X(-72 + 100y + 12y2)) = 0
(-216 + 300y + 36y2 + (-72 * X + 100y * X + 12y2 * X)) = 0
(-216 + 300y + 36y2 + (-72X + 100yX + 12y2X)) = 0

Reorder the terms:
(-216 + -72X + 300y + 100yX + 36y2 + 12y2X) = 0
(-216 + -72X + 300y + 100yX + 36y2 + 12y2X) = 0

Solving
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = 0

Solving for variable 'X'.

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

Add '216' to each side of the equation.
-216 + -72X + 300y + 100yX + 36y2 + 216 + 12y2X = 0 + 216

Reorder the terms:
-216 + 216 + -72X + 300y + 100yX + 36y2 + 12y2X = 0 + 216

Combine like terms: -216 + 216 = 0
0 + -72X + 300y + 100yX + 36y2 + 12y2X = 0 + 216
-72X + 300y + 100yX + 36y2 + 12y2X = 0 + 216

Combine like terms: 0 + 216 = 216
-72X + 300y + 100yX + 36y2 + 12y2X = 216

Add '-300y' to each side of the equation.
-72X + 300y + 100yX + 36y2 + -300y + 12y2X = 216 + -300y

Reorder the terms:
-72X + 300y + -300y + 100yX + 36y2 + 12y2X = 216 + -300y

Combine like terms: 300y + -300y = 0
-72X + 0 + 100yX + 36y2 + 12y2X = 216 + -300y
-72X + 100yX + 36y2 + 12y2X = 216 + -300y

Add '-36y2' to each side of the equation.
-72X + 100yX + 36y2 + -36y2 + 12y2X = 216 + -300y + -36y2

Combine like terms: 36y2 + -36y2 = 0
-72X + 100yX + 0 + 12y2X = 216 + -300y + -36y2
-72X + 100yX + 12y2X = 216 + -300y + -36y2

Reorder the terms:
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = 216 + -300y + -36y2 + -216 + 300y + 36y2

Reorder the terms:
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = 216 + -216 + -300y + 300y + -36y2 + 36y2

Combine like terms: 216 + -216 = 0
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = 0 + -300y + 300y + -36y2 + 36y2
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = -300y + 300y + -36y2 + 36y2

Combine like terms: -300y + 300y = 0
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = 0 + -36y2 + 36y2
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = -36y2 + 36y2

Combine like terms: -36y2 + 36y2 = 0
-216 + -72X + 300y + 100yX + 36y2 + 12y2X = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-54 + -18X + 75y + 25yX + 9y2 + 3y2X) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-54 + -18X + 75y + 25yX + 9y2 + 3y2X)' equal to zero and attempt to solve: Simplifying -54 + -18X + 75y + 25yX + 9y2 + 3y2X = 0 Solving -54 + -18X + 75y + 25yX + 9y2 + 3y2X = 0 Move all terms containing X to the left, all other terms to the right. Add '54' to each side of the equation. -54 + -18X + 75y + 25yX + 9y2 + 54 + 3y2X = 0 + 54 Reorder the terms: -54 + 54 + -18X + 75y + 25yX + 9y2 + 3y2X = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -18X + 75y + 25yX + 9y2 + 3y2X = 0 + 54 -18X + 75y + 25yX + 9y2 + 3y2X = 0 + 54 Combine like terms: 0 + 54 = 54 -18X + 75y + 25yX + 9y2 + 3y2X = 54 Add '-75y' to each side of the equation. -18X + 75y + 25yX + 9y2 + -75y + 3y2X = 54 + -75y Reorder the terms: -18X + 75y + -75y + 25yX + 9y2 + 3y2X = 54 + -75y Combine like terms: 75y + -75y = 0 -18X + 0 + 25yX + 9y2 + 3y2X = 54 + -75y -18X + 25yX + 9y2 + 3y2X = 54 + -75y Add '-9y2' to each side of the equation. -18X + 25yX + 9y2 + -9y2 + 3y2X = 54 + -75y + -9y2 Combine like terms: 9y2 + -9y2 = 0 -18X + 25yX + 0 + 3y2X = 54 + -75y + -9y2 -18X + 25yX + 3y2X = 54 + -75y + -9y2 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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