0=(x-7)(x^2+7x+49)

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Solution for 0=(x-7)(x^2+7x+49) equation:


Simplifying
0 = (x + -7)(x2 + 7x + 49)

Reorder the terms:
0 = (-7 + x)(x2 + 7x + 49)

Reorder the terms:
0 = (-7 + x)(49 + 7x + x2)

Multiply (-7 + x) * (49 + 7x + x2)
0 = (-7(49 + 7x + x2) + x(49 + 7x + x2))
0 = ((49 * -7 + 7x * -7 + x2 * -7) + x(49 + 7x + x2))
0 = ((-343 + -49x + -7x2) + x(49 + 7x + x2))
0 = (-343 + -49x + -7x2 + (49 * x + 7x * x + x2 * x))
0 = (-343 + -49x + -7x2 + (49x + 7x2 + x3))

Reorder the terms:
0 = (-343 + -49x + 49x + -7x2 + 7x2 + x3)

Combine like terms: -49x + 49x = 0
0 = (-343 + 0 + -7x2 + 7x2 + x3)
0 = (-343 + -7x2 + 7x2 + x3)

Combine like terms: -7x2 + 7x2 = 0
0 = (-343 + 0 + x3)
0 = (-343 + x3)

Solving
0 = -343 + x3

Solving for variable 'x'.

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

Add '-1x3' to each side of the equation.
0 + -1x3 = -343 + x3 + -1x3
Remove the zero:
-1x3 = -343 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1x3 = -343 + 0
-1x3 = -343

Divide each side by '-1'.
x3 = 343

Simplifying
x3 = 343

Reorder the terms:
-343 + x3 = 343 + -343

Combine like terms: 343 + -343 = 0
-343 + x3 = 0

The solution to this equation could not be determined.

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