21x^2+10x-16=0

Simple and best practice solution for 21x^2+10x-16=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 21x^2+10x-16=0 equation:


Simplifying
21x2 + 10x + -16 = 0

Reorder the terms:
-16 + 10x + 21x2 = 0

Solving
-16 + 10x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -7x)(2 + -3x) = 0

Subproblem 1

Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 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 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {-1.142857143, 0.6666666667}

See similar equations:

| 4x-2=18-x | | log(2x-1)=3 | | y=-3sinx | | 2*6+(4*6+2)= | | ln(x)=.05 | | 2x-7=4/x | | (4y^2-6y-1)+(3y^2-2y+7)= | | 0=2x^2-6 | | 355=60+2.50n | | -x+4=2x^2-5 | | 1/3(-1/5)(-1/6)= | | 7x^2+9x+1=0 | | 3(x-2)-4=4-6(x-3) | | 4cos^2x-sin^2(2x)+5sine^2x=4 | | 3x^2-26-9=0 | | 7*6-3*6+6= | | 6(m+3)-7m=10+m | | (x+3-3)=15-3 | | 30a^3+25a^2-105a= | | 7(1-2a)=119 | | 5x=x+30+x | | V(B-b)=2b | | y+2y-2=16 | | 4(x-1)=-14 | | 2x^2+25x+15=0 | | 4x-6-18x=28+2x-2 | | 3p=5p+2 | | x+3/12=6/x-3 | | 3x+6=3x-5 | | (6-v)(3v-8)=0 | | 7+w-2-2w+8w= | | x^2+4=x^2 |

Equations solver categories