(7x-21)(4x+12)=

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Solution for (7x-21)(4x+12)= equation: 


Simplifying
(7x + -21)(4x + 12) = 0

Reorder the terms:
(-21 + 7x)(4x + 12) = 0

Reorder the terms:
(-21 + 7x)(12 + 4x) = 0

Multiply (-21 + 7x) * (12 + 4x)
(-21(12 + 4x) + 7x * (12 + 4x)) = 0
((12 * -21 + 4x * -21) + 7x * (12 + 4x)) = 0
((-252 + -84x) + 7x * (12 + 4x)) = 0
(-252 + -84x + (12 * 7x + 4x * 7x)) = 0
(-252 + -84x + (84x + 28x2)) = 0

Combine like terms: -84x + 84x = 0
(-252 + 0 + 28x2) = 0
(-252 + 28x2) = 0

Solving
-252 + 28x2 = 0

Solving for variable 'x'.

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

Add '252' to each side of the equation.
-252 + 252 + 28x2 = 0 + 252

Combine like terms: -252 + 252 = 0
0 + 28x2 = 0 + 252
28x2 = 0 + 252

Combine like terms: 0 + 252 = 252
28x2 = 252

Divide each side by '28'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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