7*x^2+18=6*x^2+8*x+2

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Solution for 7*x^2+18=6*x^2+8*x+2 equation: 


Simplifying
7x2 + 18 = 6x2 + 8x + 2

Reorder the terms:
18 + 7x2 = 6x2 + 8x + 2

Reorder the terms:
18 + 7x2 = 2 + 8x + 6x2

Solving
18 + 7x2 = 2 + 8x + 6x2

Solving for variable 'x'.

Reorder the terms:
18 + -2 + -8x + 7x2 + -6x2 = 2 + 8x + 6x2 + -2 + -8x + -6x2

Combine like terms: 18 + -2 = 16
16 + -8x + 7x2 + -6x2 = 2 + 8x + 6x2 + -2 + -8x + -6x2

Combine like terms: 7x2 + -6x2 = 1x2
16 + -8x + 1x2 = 2 + 8x + 6x2 + -2 + -8x + -6x2

Reorder the terms:
16 + -8x + 1x2 = 2 + -2 + 8x + -8x + 6x2 + -6x2

Combine like terms: 2 + -2 = 0
16 + -8x + 1x2 = 0 + 8x + -8x + 6x2 + -6x2
16 + -8x + 1x2 = 8x + -8x + 6x2 + -6x2

Combine like terms: 8x + -8x = 0
16 + -8x + 1x2 = 0 + 6x2 + -6x2
16 + -8x + 1x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
16 + -8x + 1x2 = 0

Factor a trinomial.
(4 + -1x)(4 + -1x) = 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 '(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
Solution
x = {4, 4}

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