(3X^2+4X)(9X+7)=0

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Solution for (3X^2+4X)(9X+7)=0 equation: 


Simplifying
(3X2 + 4X)(9X + 7) = 0

Reorder the terms:
(4X + 3X2)(9X + 7) = 0

Reorder the terms:
(4X + 3X2)(7 + 9X) = 0

Multiply (4X + 3X2) * (7 + 9X)
(4X * (7 + 9X) + 3X2 * (7 + 9X)) = 0
((7 * 4X + 9X * 4X) + 3X2 * (7 + 9X)) = 0
((28X + 36X2) + 3X2 * (7 + 9X)) = 0
(28X + 36X2 + (7 * 3X2 + 9X * 3X2)) = 0
(28X + 36X2 + (21X2 + 27X3)) = 0

Combine like terms: 36X2 + 21X2 = 57X2
(28X + 57X2 + 27X3) = 0

Solving
28X + 57X2 + 27X3 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(28 + 57X + 27X2) = 0

Factor a trinomial.
X((4 + 3X)(7 + 9X)) = 0


Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(4 + 3X)' equal to zero and attempt to solve:

Simplifying
4 + 3X = 0

Solving
4 + 3X = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3X = 0 + -4
3X = 0 + -4

Combine like terms: 0 + -4 = -4
3X = -4

Divide each side by '3'.
X = -1.333333333

Simplifying
X = -1.333333333

Subproblem 3
Set the factor '(7 + 9X)' equal to zero and attempt to solve:

Simplifying
7 + 9X = 0

Solving
7 + 9X = 0

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

Add '-7' to each side of the equation.
7 + -7 + 9X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9X = 0 + -7
9X = 0 + -7

Combine like terms: 0 + -7 = -7
9X = -7

Divide each side by '9'.
X = -0.7777777778

Simplifying
X = -0.7777777778
Solution
X = {0, -1.333333333, -0.7777777778}

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