(4x^2+3x+4)-(4x^2+5)=8x+11

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Solution for (4x^2+3x+4)-(4x^2+5)=8x+11 equation:


Simplifying
(4x2 + 3x + 4) + -1(4x2 + 5) = 8x + 11

Reorder the terms:
(4 + 3x + 4x2) + -1(4x2 + 5) = 8x + 11

Remove parenthesis around (4 + 3x + 4x2)
4 + 3x + 4x2 + -1(4x2 + 5) = 8x + 11

Reorder the terms:
4 + 3x + 4x2 + -1(5 + 4x2) = 8x + 11
4 + 3x + 4x2 + (5 * -1 + 4x2 * -1) = 8x + 11
4 + 3x + 4x2 + (-5 + -4x2) = 8x + 11

Reorder the terms:
4 + -5 + 3x + 4x2 + -4x2 = 8x + 11

Combine like terms: 4 + -5 = -1
-1 + 3x + 4x2 + -4x2 = 8x + 11

Combine like terms: 4x2 + -4x2 = 0
-1 + 3x + 0 = 8x + 11
-1 + 3x = 8x + 11

Reorder the terms:
-1 + 3x = 11 + 8x

Solving
-1 + 3x = 11 + 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.
-1 + 3x + -8x = 11 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-1 + -5x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1 + -5x = 11 + 0
-1 + -5x = 11

Add '1' to each side of the equation.
-1 + 1 + -5x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = 11 + 1
-5x = 11 + 1

Combine like terms: 11 + 1 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

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