10x^2-11x-17=-9

Simple and best practice solution for 10x^2-11x-17=-9 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 10x^2-11x-17=-9 equation:


Simplifying
10x2 + -11x + -17 = -9

Reorder the terms:
-17 + -11x + 10x2 = -9

Solving
-17 + -11x + 10x2 = -9

Solving for variable 'x'.

Reorder the terms:
-17 + 9 + -11x + 10x2 = -9 + 9

Combine like terms: -17 + 9 = -8
-8 + -11x + 10x2 = -9 + 9

Combine like terms: -9 + 9 = 0
-8 + -11x + 10x2 = 0

Factor a trinomial.
(-1 + -2x)(8 + -5x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6

Solution

x = {-0.5, 1.6}

See similar equations:

| 2x-1=10x-7 | | 4x-12x-12=-12 | | 34x-2y=4 | | -1+2=-4+17x | | -7x-5=12 | | -18+3x=5x+40 | | 14x^2=-13x-3 | | X(15)=240 | | -x=y-1 | | 6/240=8/x | | -3r+19=9 | | 12x=4 | | x/8=240/6 | | 8/x=6/240 | | 0.2=x+(0.1)x | | 4x^2+4y^2-16x+24y-12=0 | | Bsquared=3 | | -2000x^(-2)=-(1/5) | | 0.2=x+(0.1X) | | 4x^2+4y^2+16x+24y-12=0 | | 555-x=44 | | -20x^2+52x=-24 | | x^3-57x^2+96x=0 | | 78.2+0.5x=287 | | 4x+3=2x+2 | | 2b/5m/15m/4b | | (375+x)(240+x)-180000=0 | | 3x^2+20x+31=6 | | 2x+x-6=63 | | f(-2)=7x-5 | | (375+x)(240+x)-18000=0 | | 6x-87=123-9x |

Equations solver categories