9x^2-21x+7=-3

Simple and best practice solution for 9x^2-21x+7=-3 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 9x^2-21x+7=-3 equation:


Simplifying
9x2 + -21x + 7 = -3

Reorder the terms:
7 + -21x + 9x2 = -3

Solving
7 + -21x + 9x2 = -3

Solving for variable 'x'.

Reorder the terms:
7 + 3 + -21x + 9x2 = -3 + 3

Combine like terms: 7 + 3 = 10
10 + -21x + 9x2 = -3 + 3

Combine like terms: -3 + 3 = 0
10 + -21x + 9x2 = 0

Factor a trinomial.
(2 + -3x)(5 + -3x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {0.6666666667, 1.666666667}

See similar equations:

| 7+13n= | | 8-4x=28-4x | | y-6x=13x | | x^2=364 | | X^2-17x+44=-4x+2 | | 8x+10y=106 | | 1.2=x-2.76 | | 2x+15=3x+10 | | 7+8n= | | 0.10x+0.35(50)=26.5 | | 7-8n= | | X+(3X-8)=360 | | 2m+8=8(1+7M) | | 3x+x+30=180 | | 3/5/15 | | -4a/13=44 | | 5x-2x=25 | | N+7n=88 | | -8(10x-5)=-12(6+2x) | | 0.25+1.11x=5.8 | | -15-5x=13-6x | | 2x/9=22 | | 6/14=w4/9 | | -3h=3/8 | | .75(4+b)=8+b | | f(n)=5n+2 | | 5y-x=x | | 4x-10+8x-6=22 | | 2/5n=2 | | 9/4f=6/5 | | 2*97=7 | | 3x+9=22x+21 |

Equations solver categories