(2x+5)(x^2-8)=2(x-1)

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Solution for (2x+5)(x^2-8)=2(x-1) equation:


Simplifying
(2x + 5)(x2 + -8) = 2(x + -1)

Reorder the terms:
(5 + 2x)(x2 + -8) = 2(x + -1)

Reorder the terms:
(5 + 2x)(-8 + x2) = 2(x + -1)

Multiply (5 + 2x) * (-8 + x2)
(5(-8 + x2) + 2x * (-8 + x2)) = 2(x + -1)
((-8 * 5 + x2 * 5) + 2x * (-8 + x2)) = 2(x + -1)
((-40 + 5x2) + 2x * (-8 + x2)) = 2(x + -1)
(-40 + 5x2 + (-8 * 2x + x2 * 2x)) = 2(x + -1)
(-40 + 5x2 + (-16x + 2x3)) = 2(x + -1)

Reorder the terms:
(-40 + -16x + 5x2 + 2x3) = 2(x + -1)
(-40 + -16x + 5x2 + 2x3) = 2(x + -1)

Reorder the terms:
-40 + -16x + 5x2 + 2x3 = 2(-1 + x)
-40 + -16x + 5x2 + 2x3 = (-1 * 2 + x * 2)
-40 + -16x + 5x2 + 2x3 = (-2 + 2x)

Solving
-40 + -16x + 5x2 + 2x3 = -2 + 2x

Solving for variable 'x'.

Reorder the terms:
-40 + 2 + -16x + -2x + 5x2 + 2x3 = -2 + 2x + 2 + -2x

Combine like terms: -40 + 2 = -38
-38 + -16x + -2x + 5x2 + 2x3 = -2 + 2x + 2 + -2x

Combine like terms: -16x + -2x = -18x
-38 + -18x + 5x2 + 2x3 = -2 + 2x + 2 + -2x

Reorder the terms:
-38 + -18x + 5x2 + 2x3 = -2 + 2 + 2x + -2x

Combine like terms: -2 + 2 = 0
-38 + -18x + 5x2 + 2x3 = 0 + 2x + -2x
-38 + -18x + 5x2 + 2x3 = 2x + -2x

Combine like terms: 2x + -2x = 0
-38 + -18x + 5x2 + 2x3 = 0

The solution to this equation could not be determined.

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