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Simplifying
3[(x + 7)(x + -7)] = 0
Reorder the terms:
3[(7 + x)(x + -7)] = 0
Reorder the terms:
3[(7 + x)(-7 + x)] = 0
Multiply (7 + x) * (-7 + x)
3[(7(-7 + x) + x(-7 + x))] = 0
3[((-7 * 7 + x * 7) + x(-7 + x))] = 0
3[((-49 + 7x) + x(-7 + x))] = 0
3[(-49 + 7x + (-7 * x + x * x))] = 0
3[(-49 + 7x + (-7x + x2))] = 0
Combine like terms: 7x + -7x = 0
3[(-49 + 0 + x2)] = 0
3[(-49 + x2)] = 0
[-49 * 3 + x2 * 3] = 0
[-147 + 3x2] = 0
Solving
-147 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '147' to each side of the equation.
-147 + 147 + 3x2 = 0 + 147
Combine like terms: -147 + 147 = 0
0 + 3x2 = 0 + 147
3x2 = 0 + 147
Combine like terms: 0 + 147 = 147
3x2 = 147
Divide each side by '3'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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