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Simplifying
(3x + -3)(7x + 7) = 0
Reorder the terms:
(-3 + 3x)(7x + 7) = 0
Reorder the terms:
(-3 + 3x)(7 + 7x) = 0
Multiply (-3 + 3x) * (7 + 7x)
(-3(7 + 7x) + 3x * (7 + 7x)) = 0
((7 * -3 + 7x * -3) + 3x * (7 + 7x)) = 0
((-21 + -21x) + 3x * (7 + 7x)) = 0
(-21 + -21x + (7 * 3x + 7x * 3x)) = 0
(-21 + -21x + (21x + 21x2)) = 0
Combine like terms: -21x + 21x = 0
(-21 + 0 + 21x2) = 0
(-21 + 21x2) = 0
Solving
-21 + 21x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '21' to each side of the equation.
-21 + 21 + 21x2 = 0 + 21
Combine like terms: -21 + 21 = 0
0 + 21x2 = 0 + 21
21x2 = 0 + 21
Combine like terms: 0 + 21 = 21
21x2 = 21
Divide each side by '21'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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