(3)(x-1)(x+4)=198

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Solution for (3)(x-1)(x+4)=198 equation: 


Simplifying
(3)(x + -1)(x + 4) = 198

Reorder the terms:
3(-1 + x)(x + 4) = 198

Reorder the terms:
3(-1 + x)(4 + x) = 198

Multiply (-1 + x) * (4 + x)
3(-1(4 + x) + x(4 + x)) = 198
3((4 * -1 + x * -1) + x(4 + x)) = 198
3((-4 + -1x) + x(4 + x)) = 198
3(-4 + -1x + (4 * x + x * x)) = 198
3(-4 + -1x + (4x + x2)) = 198

Combine like terms: -1x + 4x = 3x
3(-4 + 3x + x2) = 198
(-4 * 3 + 3x * 3 + x2 * 3) = 198
(-12 + 9x + 3x2) = 198

Solving
-12 + 9x + 3x2 = 198

Solving for variable 'x'.

Reorder the terms:
-12 + -198 + 9x + 3x2 = 198 + -198

Combine like terms: -12 + -198 = -210
-210 + 9x + 3x2 = 198 + -198

Combine like terms: 198 + -198 = 0
-210 + 9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-70 + 3x + x2) = 0

Factor a trinomial.
3((-10 + -1x)(7 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-10, 7}

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