(x-7)(x^2+6x+4)=-(x-7)

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Solution for (x-7)(x^2+6x+4)=-(x-7) equation:


Simplifying
(x + -7)(x2 + 6x + 4) = -1(x + -7)

Reorder the terms:
(-7 + x)(x2 + 6x + 4) = -1(x + -7)

Reorder the terms:
(-7 + x)(4 + 6x + x2) = -1(x + -7)

Multiply (-7 + x) * (4 + 6x + x2)
(-7(4 + 6x + x2) + x(4 + 6x + x2)) = -1(x + -7)
((4 * -7 + 6x * -7 + x2 * -7) + x(4 + 6x + x2)) = -1(x + -7)
((-28 + -42x + -7x2) + x(4 + 6x + x2)) = -1(x + -7)
(-28 + -42x + -7x2 + (4 * x + 6x * x + x2 * x)) = -1(x + -7)
(-28 + -42x + -7x2 + (4x + 6x2 + x3)) = -1(x + -7)

Reorder the terms:
(-28 + -42x + 4x + -7x2 + 6x2 + x3) = -1(x + -7)

Combine like terms: -42x + 4x = -38x
(-28 + -38x + -7x2 + 6x2 + x3) = -1(x + -7)

Combine like terms: -7x2 + 6x2 = -1x2
(-28 + -38x + -1x2 + x3) = -1(x + -7)

Reorder the terms:
-28 + -38x + -1x2 + x3 = -1(-7 + x)
-28 + -38x + -1x2 + x3 = (-7 * -1 + x * -1)
-28 + -38x + -1x2 + x3 = (7 + -1x)

Solving
-28 + -38x + -1x2 + x3 = 7 + -1x

Solving for variable 'x'.

Reorder the terms:
-28 + -7 + -38x + x + -1x2 + x3 = 7 + -1x + -7 + x

Combine like terms: -28 + -7 = -35
-35 + -38x + x + -1x2 + x3 = 7 + -1x + -7 + x

Combine like terms: -38x + x = -37x
-35 + -37x + -1x2 + x3 = 7 + -1x + -7 + x

Reorder the terms:
-35 + -37x + -1x2 + x3 = 7 + -7 + -1x + x

Combine like terms: 7 + -7 = 0
-35 + -37x + -1x2 + x3 = 0 + -1x + x
-35 + -37x + -1x2 + x3 = -1x + x

Combine like terms: -1x + x = 0
-35 + -37x + -1x2 + x3 = 0

The solution to this equation could not be determined.

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