64=x^2+x^2+4x+2x+8

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Solution for 64=x^2+x^2+4x+2x+8 equation: 


Simplifying
64 = x2 + x2 + 4x + 2x + 8

Reorder the terms:
64 = 8 + 4x + 2x + x2 + x2

Combine like terms: 4x + 2x = 6x
64 = 8 + 6x + x2 + x2

Combine like terms: x2 + x2 = 2x2
64 = 8 + 6x + 2x2

Solving
64 = 8 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 64 + -8 = 56
56 + -6x + -2x2 = 8 + 6x + 2x2 + -8 + -6x + -2x2

Reorder the terms:
56 + -6x + -2x2 = 8 + -8 + 6x + -6x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
56 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
56 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
56 + -6x + -2x2 = 0 + 2x2 + -2x2
56 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
56 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + -3x + -1x2) = 0

Factor a trinomial.
2((4 + -1x)(7 + x)) = 0

Ignore the factor 2.

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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {4, -7}

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