24x^2-3x-27=0

Simple and best practice solution for 24x^2-3x-27=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 24x^2-3x-27=0 equation:


Simplifying
24x2 + -3x + -27 = 0

Reorder the terms:
-27 + -3x + 24x2 = 0

Solving
-27 + -3x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + -1x + 8x2) = 0

Factor a trinomial.
3((-1 + -1x)(9 + -8x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125

Solution

x = {-1, 1.125}

See similar equations:

| 0.5y=45 | | 2x-10=-3x+10 | | 0.36(12)+0.06x=0.12(12+x) | | 121-5x=13x+5 | | 7y-8=6+1 | | 5(x-4)=2(5x-15) | | 12(3x+4)-7(2x-5)=2x-17 | | 16(3x-7)=4(12x+1) | | 2(2w+3)+2(w)=36 | | 3(x-3)=4(3x+5) | | 12-8x=120-29x | | -8x=15 | | 3(3x+2)=2(3x+5) | | -18=8x-9x | | 2x+3x+6+8+16x=56 | | 2.5n=80 | | 5x+9=4(2x+3) | | -18=8h-9h | | 3(2x-1)=4(3x-4) | | 4r(5r-4)=0 | | -4x=106 | | 6(3x-2)=2(4x-12) | | 10x^2+37x-36=0 | | 25+30x=15+40x | | 50x+50=75x+30 | | 43.96=2r*3.14 | | Y-95=-18 | | 3(x+10)=5(x+4) | | X-27=-63 | | 0.2s-1.3=0.3 | | 2x^2-x=4x^2 | | 55+20x=15+40x |

Equations solver categories