8x^2-22x-40=0

Simple and best practice solution for 8x^2-22x-40=0 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^2-22x-40=0 equation:


Simplifying
8x2 + -22x + -40 = 0

Reorder the terms:
-40 + -22x + 8x2 = 0

Solving
-40 + -22x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -11x + 4x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 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 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-1.25, 4}

See similar equations:

| -8x+22x+40=0 | | -48x^2+10x+3=0 | | 121-j=11 | | 5x+9-7x+6=x+8 | | 3x-4=5x+5 | | 4x/x-1 | | 4x^2+16x+20=0 | | 3x-4=5x-5 | | 56x^2+71x+8=0 | | 6-(2/x)=(4/x-1) | | -6m-2=m-11 | | 6-2/x=4/x-1 | | 150= | | 16-h=1 | | 12x^2+24x+36=0 | | 1-2a^5+a^10= | | 120= | | -48x^2+14x+49=0 | | 3x+13y=100 | | 48-4=m | | 48x^2+46x-5=0 | | -3/4v=-18 | | 8x-5 | | 2(2-x)+3(x-4)=4(x+8) | | 28=x-1(2x) | | 8+12a^2+6a^4+a^6= | | 24x^2+30x+6=0 | | -1.3+x/7=18.8 | | -7w-16=5w+20 | | 28x^2-10x-12=0 | | 4/7w=28 | | 12x^2+7x-1=0 |

Equations solver categories