8x^2-7x+9=2x^2+6x+7

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Solution for 8x^2-7x+9=2x^2+6x+7 equation: 


Simplifying
8x2 + -7x + 9 = 2x2 + 6x + 7

Reorder the terms:
9 + -7x + 8x2 = 2x2 + 6x + 7

Reorder the terms:
9 + -7x + 8x2 = 7 + 6x + 2x2

Solving
9 + -7x + 8x2 = 7 + 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
9 + -7 + -7x + -6x + 8x2 + -2x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2

Combine like terms: 9 + -7 = 2
2 + -7x + -6x + 8x2 + -2x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2

Combine like terms: -7x + -6x = -13x
2 + -13x + 8x2 + -2x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2

Combine like terms: 8x2 + -2x2 = 6x2
2 + -13x + 6x2 = 7 + 6x + 2x2 + -7 + -6x + -2x2

Reorder the terms:
2 + -13x + 6x2 = 7 + -7 + 6x + -6x + 2x2 + -2x2

Combine like terms: 7 + -7 = 0
2 + -13x + 6x2 = 0 + 6x + -6x + 2x2 + -2x2
2 + -13x + 6x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
2 + -13x + 6x2 = 0 + 2x2 + -2x2
2 + -13x + 6x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + -13x + 6x2 = 0

Factor a trinomial.
(1 + -6x)(2 + -1x) = 0


Subproblem 1
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

Subproblem 2
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
Solution
x = {0.1666666667, 2}

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