(6x^2+4x+1)-(6x^2+5)=8x+9

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Solution for (6x^2+4x+1)-(6x^2+5)=8x+9 equation:


Simplifying
(6x2 + 4x + 1) + -1(6x2 + 5) = 8x + 9

Reorder the terms:
(1 + 4x + 6x2) + -1(6x2 + 5) = 8x + 9

Remove parenthesis around (1 + 4x + 6x2)
1 + 4x + 6x2 + -1(6x2 + 5) = 8x + 9

Reorder the terms:
1 + 4x + 6x2 + -1(5 + 6x2) = 8x + 9
1 + 4x + 6x2 + (5 * -1 + 6x2 * -1) = 8x + 9
1 + 4x + 6x2 + (-5 + -6x2) = 8x + 9

Reorder the terms:
1 + -5 + 4x + 6x2 + -6x2 = 8x + 9

Combine like terms: 1 + -5 = -4
-4 + 4x + 6x2 + -6x2 = 8x + 9

Combine like terms: 6x2 + -6x2 = 0
-4 + 4x + 0 = 8x + 9
-4 + 4x = 8x + 9

Reorder the terms:
-4 + 4x = 9 + 8x

Solving
-4 + 4x = 9 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 4x + -8x = 9 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-4 + -4x = 9 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -4x = 9 + 0
-4 + -4x = 9

Add '4' to each side of the equation.
-4 + 4 + -4x = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 9 + 4
-4x = 9 + 4

Combine like terms: 9 + 4 = 13
-4x = 13

Divide each side by '-4'.
x = -3.25

Simplifying
x = -3.25

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