6x^2-3x-97=9x-7

Simple and best practice solution for 6x^2-3x-97=9x-7 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 6x^2-3x-97=9x-7 equation: 


Simplifying
6x2 + -3x + -97 = 9x + -7

Reorder the terms:
-97 + -3x + 6x2 = 9x + -7

Reorder the terms:
-97 + -3x + 6x2 = -7 + 9x

Solving
-97 + -3x + 6x2 = -7 + 9x

Solving for variable 'x'.

Reorder the terms:
-97 + 7 + -3x + -9x + 6x2 = -7 + 9x + 7 + -9x

Combine like terms: -97 + 7 = -90
-90 + -3x + -9x + 6x2 = -7 + 9x + 7 + -9x

Combine like terms: -3x + -9x = -12x
-90 + -12x + 6x2 = -7 + 9x + 7 + -9x

Reorder the terms:
-90 + -12x + 6x2 = -7 + 7 + 9x + -9x

Combine like terms: -7 + 7 = 0
-90 + -12x + 6x2 = 0 + 9x + -9x
-90 + -12x + 6x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-90 + -12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + -2x + x2) = 0

Factor a trinomial.
6((-3 + -1x)(5 + -1x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-3, 5}

See similar equations:

| x-7-2(3x+5)=3 | | 1/x=5/4+x | | x+2g*hij=4674 | | 5(4+x)=4(4x-1)-42 | | 7x+7y-z=102 | | -42+20=2x+13x | | x+x*2=120 | | -42+20= | | 2(2+5x)-7(1+x)-3=0 | | x^3-12x^2+36=0 | | 2r^5-6r^4-56r^3=0 | | Y=-2x^2-8x+3 | | 4x-6y=54 | | 8x^2+16x=5 | | 7-63=0 | | 7(x+6)-4=40-5x-2+12x | | 2+4.0=0 | | K(x)+B(y)=c | | -4+9(x-5)=15x+2-6x | | 8x^2+16x=-5 | | 0.8x-0.4(19-3x)=-0.2(x-6) | | 3-.20x=.10x | | 11z-55y=121 | | 8x(x-6)= | | 4(a-7)+6=2(a-5) | | 9/13^3/2 | | 8+3lnx=6 | | 4(5x-2)+2=-4 | | 16x^2+8x=-5 | | 12-3x=-7x | | 1/4x+4=19 | | 4x-7x=15 |

Equations solver categories