3(7x+18)(x-4)=0

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Solution for 3(7x+18)(x-4)=0 equation: 


Simplifying
3(7x + 18)(x + -4) = 0

Reorder the terms:
3(18 + 7x)(x + -4) = 0

Reorder the terms:
3(18 + 7x)(-4 + x) = 0

Multiply (18 + 7x) * (-4 + x)
3(18(-4 + x) + 7x * (-4 + x)) = 0
3((-4 * 18 + x * 18) + 7x * (-4 + x)) = 0
3((-72 + 18x) + 7x * (-4 + x)) = 0
3(-72 + 18x + (-4 * 7x + x * 7x)) = 0
3(-72 + 18x + (-28x + 7x2)) = 0

Combine like terms: 18x + -28x = -10x
3(-72 + -10x + 7x2) = 0
(-72 * 3 + -10x * 3 + 7x2 * 3) = 0
(-216 + -30x + 21x2) = 0

Solving
-216 + -30x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-72 + -10x + 7x2) = 0

Factor a trinomial.
3((-18 + -7x)(4 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-18 + -7x)' equal to zero and attempt to solve:

Simplifying
-18 + -7x = 0

Solving
-18 + -7x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -7x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -7x = 0 + 18
-7x = 0 + 18

Combine like terms: 0 + 18 = 18
-7x = 18

Divide each side by '-7'.
x = -2.571428571

Simplifying
x = -2.571428571

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-2.571428571, 4}

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