(3x^2-5x-2)+(9x^2-3x+3)=0

Simple and best practice solution for (3x^2-5x-2)+(9x^2-3x+3)=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 (3x^2-5x-2)+(9x^2-3x+3)=0 equation:


Simplifying
(3x2 + -5x + -2) + (9x2 + -3x + 3) = 0

Reorder the terms:
(-2 + -5x + 3x2) + (9x2 + -3x + 3) = 0

Remove parenthesis around (-2 + -5x + 3x2)
-2 + -5x + 3x2 + (9x2 + -3x + 3) = 0

Reorder the terms:
-2 + -5x + 3x2 + (3 + -3x + 9x2) = 0

Remove parenthesis around (3 + -3x + 9x2)
-2 + -5x + 3x2 + 3 + -3x + 9x2 = 0

Reorder the terms:
-2 + 3 + -5x + -3x + 3x2 + 9x2 = 0

Combine like terms: -2 + 3 = 1
1 + -5x + -3x + 3x2 + 9x2 = 0

Combine like terms: -5x + -3x = -8x
1 + -8x + 3x2 + 9x2 = 0

Combine like terms: 3x2 + 9x2 = 12x2
1 + -8x + 12x2 = 0

Solving
1 + -8x + 12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -6x)(1 + -2x) = 0

Subproblem 1

Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667

Subproblem 2

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

Solution

x = {0.1666666667, 0.5}

See similar equations:

| 42b^2-43b-7=0 | | 12x+13=6x+139 | | 35=7/5t | | iz+(3+2i)z-1+3i=2z-i | | 3x+8y=32 | | 3iz+z+4i-1=0 | | 9x+4=6x+22 | | (11x^2-4x+1)-(-x^2+5x-7)=0 | | 4+91x=52x+7 | | 56a^2+121a+63=0 | | 12x^3+x^2-21x+5=0 | | X-(2X-(3X-4))=11 | | -x^3+4x^2-x=0 | | x=(0.5766-x)/0.18 | | X^3-32=-2x^2+16x | | 7/8x-4/x-4 | | x=-24+22x | | 23x+15=4x-7 | | (7x^5-7x^4-6x^3-3)-(2x^5+4x^4-2x^3-1)= | | 0=-7x^2+2x+2 | | 0=-4x^2+3x+7 | | (6x+13)+(7x-2)=180 | | .5625=(.04x^2+1.5x+.5625)-300 | | (-5x^2+11x-14)+(4x^2-7x-6)=0 | | 1/3X-5=-1 | | 2x+19=-6x-13 | | x=9-4 | | 4(-2x+7)=2(x+20)-5(3-2x)+3 | | 65-2x=3x-10 | | (4x^6+14x^5+10x)-(2x^6+16x^5-10x)= | | (x^2-1)(2x^2-x-1)=0 | | ((2/x-2))=((x/x-2))-2 |

Equations solver categories