3(x-7)(x+2)=

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Solution for 3(x-7)(x+2)= equation: 


Simplifying
3(x + -7)(x + 2) = 0

Reorder the terms:
3(-7 + x)(x + 2) = 0

Reorder the terms:
3(-7 + x)(2 + x) = 0

Multiply (-7 + x) * (2 + x)
3(-7(2 + x) + x(2 + x)) = 0
3((2 * -7 + x * -7) + x(2 + x)) = 0
3((-14 + -7x) + x(2 + x)) = 0
3(-14 + -7x + (2 * x + x * x)) = 0
3(-14 + -7x + (2x + x2)) = 0

Combine like terms: -7x + 2x = -5x
3(-14 + -5x + x2) = 0
(-14 * 3 + -5x * 3 + x2 * 3) = 0
(-42 + -15x + 3x2) = 0

Solving
-42 + -15x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-14 + -5x + x2) = 0

Factor a trinomial.
3((-2 + -1x)(7 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 7}

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