8x^2-13x-9=5x-4

Simple and best practice solution for 8x^2-13x-9=5x-4 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 8x^2-13x-9=5x-4 equation: 


Simplifying
8x2 + -13x + -9 = 5x + -4

Reorder the terms:
-9 + -13x + 8x2 = 5x + -4

Reorder the terms:
-9 + -13x + 8x2 = -4 + 5x

Solving
-9 + -13x + 8x2 = -4 + 5x

Solving for variable 'x'.

Reorder the terms:
-9 + 4 + -13x + -5x + 8x2 = -4 + 5x + 4 + -5x

Combine like terms: -9 + 4 = -5
-5 + -13x + -5x + 8x2 = -4 + 5x + 4 + -5x

Combine like terms: -13x + -5x = -18x
-5 + -18x + 8x2 = -4 + 5x + 4 + -5x

Reorder the terms:
-5 + -18x + 8x2 = -4 + 4 + 5x + -5x

Combine like terms: -4 + 4 = 0
-5 + -18x + 8x2 = 0 + 5x + -5x
-5 + -18x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -18x + 8x2 = 0

Factor a trinomial.
(-1 + -4x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

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

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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 = {-0.25, 2.5}

See similar equations:

| -12x^2-21x+6=0 | | x-9y=13 | | x^3-6x^2-11=0 | | 13+6s=3+11s | | 13-6n=16n | | 12*17=x | | 6x^2-47x-8=0 | | 3f+4=8f+9 | | 7m-1=6m+3 | | 81-2x=4x+15 | | 35x^2+4x-63=0 | | 5x^2-400=0 | | 3x+8=-28-9x | | 2x^6+16=0 | | 10x+3=7x+15 | | 2+8j=j-19 | | 7n-2+4n=59 | | 75.4=2*3.14r | | 30-2e^1-5x=70 | | 3x+8-x=18 | | -6x^2+34x-48=0 | | 2z-3=7+22 | | 3s+14=68 | | 2(y+2)=3(y-4) | | -2x+3y=3x+3 | | 0.1x+13.6=x-9.62 | | (4)(-9)(-3)(2)= | | 2(a+10)= | | 2x-3y=x-2 | | 8y+10=4y+2 | | 2x^2+28x+90=0 | | 3x-2=12x-32 |

Equations solver categories