(5x-8)(x+1)=-6

Simple and best practice solution for (5x-8)(x+1)=-6 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (5x-8)(x+1)=-6 equation: 


Simplifying
(5x + -8)(x + 1) = -6

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

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

Multiply (-8 + 5x) * (1 + x)
(-8(1 + x) + 5x * (1 + x)) = -6
((1 * -8 + x * -8) + 5x * (1 + x)) = -6
((-8 + -8x) + 5x * (1 + x)) = -6
(-8 + -8x + (1 * 5x + x * 5x)) = -6
(-8 + -8x + (5x + 5x2)) = -6

Combine like terms: -8x + 5x = -3x
(-8 + -3x + 5x2) = -6

Solving
-8 + -3x + 5x2 = -6

Solving for variable 'x'.

Reorder the terms:
-8 + 6 + -3x + 5x2 = -6 + 6

Combine like terms: -8 + 6 = -2
-2 + -3x + 5x2 = -6 + 6

Combine like terms: -6 + 6 = 0
-2 + -3x + 5x2 = 0

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


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

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

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

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

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

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.4, 1}

See similar equations:

| 9xy/(6x) | | 7(2-x)+5=-2(x-20)-1 | | f(-3)=0 | | -12x-5-9+4x=8x-13x+15-8 | | f(x)=5x^2+3x^3-13 | | 1/6912z-18)=2z-3 | | 3(6+4)= | | 3(26-x)-6=x | | (3x+8)+(5x+23)=0 | | 3(x-2)=5x+18 | | 8-13=8 | | 4x+2(3x+4)=6x+44 | | -2x-7=.5x+2 | | 6x+7x=15 | | 2x-(x+1)=3x+1 | | x*.10=25000 | | 5+5x+2x=89 | | 8x-(2x-3)=.25(24x-4) | | x(x+1)-6(x+1)=0 | | 10p^3q+20p^2q^2-5pq=0 | | 9+4x+6x=49 | | 7x+1+3x=111 | | 18=6x-3y | | 8=3(x-1)-(x-5) | | 5x+7+7x=103 | | n^2-3n-61=0 | | 3a^2+6a+2a^2= | | 28x-120=16x+24 | | -19-13x=-17x-5 | | (5^5/5)^3 | | 3+5x+4x=84 | | x+2+4x=7 |

Equations solver categories