3x^2+5x-2=-4

Simple and best practice solution for 3x^2+5x-2=-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 3x^2+5x-2=-4 equation:


Simplifying
3x2 + 5x + -2 = -4

Reorder the terms:
-2 + 5x + 3x2 = -4

Solving
-2 + 5x + 3x2 = -4

Solving for variable 'x'.

Reorder the terms:
-2 + 4 + 5x + 3x2 = -4 + 4

Combine like terms: -2 + 4 = 2
2 + 5x + 3x2 = -4 + 4

Combine like terms: -4 + 4 = 0
2 + 5x + 3x2 = 0

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

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

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, -0.6666666667}

See similar equations:

| sinx^2-cosx^2= | | (3z+2)(2z^2-5z+4)= | | 3x^(5/2)-6x^(3/2)-9x^(1/2)=0 | | 32x+8x+38=180 | | 4ln-lnx^4=0 | | 3e^2x=21 | | a+5=(3.6-1.7) | | (7x/9y)*(4x/3y) | | g(b+4)=7x+9 | | g(x)=7x+9 | | 10+0.1x=5+0.2x | | 8+2p-6=8p+20-3p | | 4x^2-5x-10=0 | | (6a^2+4.5a)(2a-6)= | | 4x^2+10x=6 | | 3a(4a+3)(2a-6)= | | 432.25=x^2*60x | | x+(0.20x)=28.50 | | 3a(4a+3)x(2a-6)= | | 3-5x+2x=24 | | x^2-4x+320=0 | | Y-5=-3/5(x-6) | | 25x+250=800 | | x+3.2y=0.7 | | 19+b+12b-8-5b=2b-7+3b+3b-4 | | 9x+6=3x-10 | | 42x-2(13-5x)+7=85 | | 9y-9(4y-11)= | | 0.4x-1.4y=0.1 | | 4.2=0.1006x^2-0.7232x+5.5518 | | 0=0.1006x^2-0.7232x+5.5518 | | y=0.1006x^2-0.7232x+5.5518 |

Equations solver categories