4x^2+19x-5=(x+5)

Solution for 4x^2+19x-5=(x+5) equation:

Simplifying
4x2 + 19x + -5 = (x + 5)

Reorder the terms:
-5 + 19x + 4x2 = (x + 5)

Reorder the terms:
-5 + 19x + 4x2 = (5 + x)

Remove parenthesis around (5 + x)
-5 + 19x + 4x2 = 5 + x

Solving
-5 + 19x + 4x2 = 5 + x

Solving for variable 'x'.

Reorder the terms:
-5 + -5 + 19x + -1x + 4x2 = 5 + x + -5 + -1x

Combine like terms: -5 + -5 = -10
-10 + 19x + -1x + 4x2 = 5 + x + -5 + -1x

Combine like terms: 19x + -1x = 18x
-10 + 18x + 4x2 = 5 + x + -5 + -1x

Reorder the terms:
-10 + 18x + 4x2 = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-10 + 18x + 4x2 = 0 + x + -1x
-10 + 18x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
-10 + 18x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 9x + 2x2) = 0

Factor a trinomial.
2((-5 + -1x)(1 + -2x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

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

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-5, 0.5}