10x^2-3x-9=-5

Simple and best practice solution for 10x^2-3x-9=-5 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^2-3x-9=-5 equation:


Simplifying
10x2 + -3x + -9 = -5

Reorder the terms:
-9 + -3x + 10x2 = -5

Solving
-9 + -3x + 10x2 = -5

Solving for variable 'x'.

Reorder the terms:
-9 + 5 + -3x + 10x2 = -5 + 5

Combine like terms: -9 + 5 = -4
-4 + -3x + 10x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-4 + -3x + 10x2 = 0

Factor a trinomial.
(-1 + -2x)(4 + -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 '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8

Solution

x = {-0.5, 0.8}

See similar equations:

| 42=6t-16t^2 | | 8x-17=5x+19 | | 3-5x=6x+58 | | 6r-5r-4=7 | | 16-(2m+8)=3+2m-15 | | -16-x=1 | | 5y+10-4y=8y-2+y | | 3x-9=-6x+27 | | 4d+5=-4d-3 | | -25x=10x^2+x^3 | | -9+5g=11 | | 93=-9h-15 | | 4y+5=30-y | | 6n^2-10n-16=3 | | 12x-15=24+8x | | 10a-37=23+4m | | a/12-5=-7 | | =1x^2+7x+11 | | c/2-5=-4 | | -28+6x=-7(5x+4) | | 2(4x+10)=5(2x-3) | | 5x^2-x+1=7 | | 3(4s+7)=81 | | (k-x)(36-12x+x^2)-36=0 | | X+6+8+4x=-12 | | -6w+10=-7(w-1)+20 | | 3(4z-1)-3(z+3)=5(z+1) | | F(x)=x^2-5g(x)=2-x | | 4(2x-8)+12x=6(2x-1)-2 | | 45+c/3=-5 | | -96-3x=7x+94 | | 8=24y |

Equations solver categories