(7x^2+22x-4)-(5x^2+3x-39)=

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Solution for (7x^2+22x-4)-(5x^2+3x-39)= equation: 


Simplifying
(7x2 + 22x + -4) + -1(5x2 + 3x + -39) = 0

Reorder the terms:
(-4 + 22x + 7x2) + -1(5x2 + 3x + -39) = 0

Remove parenthesis around (-4 + 22x + 7x2)
-4 + 22x + 7x2 + -1(5x2 + 3x + -39) = 0

Reorder the terms:
-4 + 22x + 7x2 + -1(-39 + 3x + 5x2) = 0
-4 + 22x + 7x2 + (-39 * -1 + 3x * -1 + 5x2 * -1) = 0
-4 + 22x + 7x2 + (39 + -3x + -5x2) = 0

Reorder the terms:
-4 + 39 + 22x + -3x + 7x2 + -5x2 = 0

Combine like terms: -4 + 39 = 35
35 + 22x + -3x + 7x2 + -5x2 = 0

Combine like terms: 22x + -3x = 19x
35 + 19x + 7x2 + -5x2 = 0

Combine like terms: 7x2 + -5x2 = 2x2
35 + 19x + 2x2 = 0

Solving
35 + 19x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + x)(5 + 2x) = 0


Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

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

Simplifying
x = -2.5
Solution
x = {-7, -2.5}

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