x*4x=8*8+x+4

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Solution for x*4x=8*8+x+4 equation: 


Simplifying
x * 4x = 8 * 8 + x + 4

Reorder the terms for easier multiplication:
4x * x = 8 * 8 + x + 4

Multiply x * x
4x2 = 8 * 8 + x + 4

Multiply 8 * 8
4x2 = 64 + x + 4

Reorder the terms:
4x2 = 64 + 4 + x

Combine like terms: 64 + 4 = 68
4x2 = 68 + x

Solving
4x2 = 68 + x

Solving for variable 'x'.

Reorder the terms:
-68 + -1x + 4x2 = 68 + x + -68 + -1x

Reorder the terms:
-68 + -1x + 4x2 = 68 + -68 + x + -1x

Combine like terms: 68 + -68 = 0
-68 + -1x + 4x2 = 0 + x + -1x
-68 + -1x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
-68 + -1x + 4x2 = 0

Factor a trinomial.
(-4 + -1x)(17 + -4x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(17 + -4x)' equal to zero and attempt to solve:

Simplifying
17 + -4x = 0

Solving
17 + -4x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -4x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 0 + -17
-4x = 0 + -17

Combine like terms: 0 + -17 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25
Solution
x = {-4, 4.25}

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