(4x^2+7x+4)-(4x^2+5)=9x+4

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Solution for (4x^2+7x+4)-(4x^2+5)=9x+4 equation:


Simplifying
(4x2 + 7x + 4) + -1(4x2 + 5) = 9x + 4

Reorder the terms:
(4 + 7x + 4x2) + -1(4x2 + 5) = 9x + 4

Remove parenthesis around (4 + 7x + 4x2)
4 + 7x + 4x2 + -1(4x2 + 5) = 9x + 4

Reorder the terms:
4 + 7x + 4x2 + -1(5 + 4x2) = 9x + 4
4 + 7x + 4x2 + (5 * -1 + 4x2 * -1) = 9x + 4
4 + 7x + 4x2 + (-5 + -4x2) = 9x + 4

Reorder the terms:
4 + -5 + 7x + 4x2 + -4x2 = 9x + 4

Combine like terms: 4 + -5 = -1
-1 + 7x + 4x2 + -4x2 = 9x + 4

Combine like terms: 4x2 + -4x2 = 0
-1 + 7x + 0 = 9x + 4
-1 + 7x = 9x + 4

Reorder the terms:
-1 + 7x = 4 + 9x

Solving
-1 + 7x = 4 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-1 + 7x + -9x = 4 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-1 + -2x = 4 + 9x + -9x

Combine like terms: 9x + -9x = 0
-1 + -2x = 4 + 0
-1 + -2x = 4

Add '1' to each side of the equation.
-1 + 1 + -2x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 4 + 1
-2x = 4 + 1

Combine like terms: 4 + 1 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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