3-2(x^2+1)=9x-4

Simple and best practice solution for 3-2(x^2+1)=9x-4 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 3-2(x^2+1)=9x-4 equation: 


Simplifying
3 + -2(x2 + 1) = 9x + -4

Reorder the terms:
3 + -2(1 + x2) = 9x + -4
3 + (1 * -2 + x2 * -2) = 9x + -4
3 + (-2 + -2x2) = 9x + -4

Combine like terms: 3 + -2 = 1
1 + -2x2 = 9x + -4

Reorder the terms:
1 + -2x2 = -4 + 9x

Solving
1 + -2x2 = -4 + 9x

Solving for variable 'x'.

Reorder the terms:
1 + 4 + -9x + -2x2 = -4 + 9x + 4 + -9x

Combine like terms: 1 + 4 = 5
5 + -9x + -2x2 = -4 + 9x + 4 + -9x

Reorder the terms:
5 + -9x + -2x2 = -4 + 4 + 9x + -9x

Combine like terms: -4 + 4 = 0
5 + -9x + -2x2 = 0 + 9x + -9x
5 + -9x + -2x2 = 9x + -9x

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

Factor a trinomial.
(1 + -2x)(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {0.5, -5}

See similar equations:

| -5(6-1)+13= | | 4/r=5/20 | | -42=-(3/4)*(x-4) | | -22=8-n | | (6y+2)-2(2y-3)= | | x-12=46 | | 1.6+3.4x=4.2 | | 3(2y-4)+2(3y+1)=-2(4y+3) | | 2(b+8)-9=10 | | 180(n-2)=135 | | y+2=3x-19 | | 5w+7=-8 | | (W+1)(w-7)=0 | | -9=5/17×n | | 12x+5=55 | | 8(3c-2)=4(7c-1) | | (1/3)(15-6x)=4-2x | | 180(n-2)=108n | | (5x+3y+1)dx+(3xy+y-4)dy=0 | | 15w-9w=30 | | Y-4=-16/13(x-(-6) | | 29=-8*-4-3 | | 12r-8t=-52 | | 6t+(-10t-3)3=75 | | x^2-14x=-113 | | 7r^2+10=-68 | | 180=90+(x+15) | | x^3-21x^2+100x+110=0 | | -10+p= | | 6(s+8)=-18 | | 42/3h | | X=3y/b |

Equations solver categories