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

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


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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Factor a trinomial.
(2 + -1x)(2 + 3x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667

Solution

x = {2, -0.6666666667}

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