x^2-4x+1=-8x-2

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Solution for x^2-4x+1=-8x-2 equation:


Simplifying
x2 + -4x + 1 = -8x + -2

Reorder the terms:
1 + -4x + x2 = -8x + -2

Reorder the terms:
1 + -4x + x2 = -2 + -8x

Solving
1 + -4x + x2 = -2 + -8x

Solving for variable 'x'.

Reorder the terms:
1 + 2 + -4x + 8x + x2 = -2 + -8x + 2 + 8x

Combine like terms: 1 + 2 = 3
3 + -4x + 8x + x2 = -2 + -8x + 2 + 8x

Combine like terms: -4x + 8x = 4x
3 + 4x + x2 = -2 + -8x + 2 + 8x

Reorder the terms:
3 + 4x + x2 = -2 + 2 + -8x + 8x

Combine like terms: -2 + 2 = 0
3 + 4x + x2 = 0 + -8x + 8x
3 + 4x + x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 4x + x2 = 0

Factor a trinomial.
(3 + x)(1 + x) = 0

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-3, -1}

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