3x^2+12x-3=0

Simple and best practice solution for 3x^2+12x-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+12x-3=0 equation:


Simplifying
3x2 + 12x + -3 = 0

Reorder the terms:
-3 + 12x + 3x2 = 0

Solving
-3 + 12x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 4x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + 4x + x2)' equal to zero and attempt to solve: Simplifying -1 + 4x + x2 = 0 Solving -1 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + 4x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 4x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x + x2 = 0 + 1 4x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 4x + x2 = 1 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 1 + 4 Reorder the terms: 4 + 4x + x2 = 1 + 4 Combine like terms: 1 + 4 = 5 4 + 4x + x2 = 5 Factor a perfect square on the left side: (x + 2)(x + 2) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (x + 2) equal to 2.236067978 and -2.236067978.

Subproblem 1

x + 2 = 2.236067978 Simplifying x + 2 = 2.236067978 Reorder the terms: 2 + x = 2.236067978 Solving 2 + x = 2.236067978 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 2.236067978 + -2 Combine like terms: 2 + -2 = 0 0 + x = 2.236067978 + -2 x = 2.236067978 + -2 Combine like terms: 2.236067978 + -2 = 0.236067978 x = 0.236067978 Simplifying x = 0.236067978

Subproblem 2

x + 2 = -2.236067978 Simplifying x + 2 = -2.236067978 Reorder the terms: 2 + x = -2.236067978 Solving 2 + x = -2.236067978 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -2.236067978 + -2 Combine like terms: 2 + -2 = 0 0 + x = -2.236067978 + -2 x = -2.236067978 + -2 Combine like terms: -2.236067978 + -2 = -4.236067978 x = -4.236067978 Simplifying x = -4.236067978

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.236067978, -4.236067978}

Solution

x = {0.236067978, -4.236067978}

See similar equations:

| (4x^2)+3x+2=0 | | 3x^2-21x=-36 | | -6x+7y=-39 | | 2(x-3)-3(x-1)-5=3x | | 3x+5=5x+23 | | 32+9x=x+(2x+8) | | 10-x=6 | | 14x^2-11x=3 | | 8x-43=3x+47 | | q*-3=12 | | qx-3=12 | | 4y^2-20y+25= | | 81x^2-180x+100= | | 4b^2+4bc+16c^2= | | a^2-20a+100= | | 5t-4=21-3t | | 12=10b+7 | | 5s-8=7 | | 2x^2-14x-218=0 | | 6+10j=46 | | x*0.03=(5.90-1)*.3333 | | 3x^2-30x+15=0 | | x*0.03=5.90-1 | | 111=3 | | x*0.03=2.90-1 | | x*0.03=5 | | 3f+1=28 | | 2r^2*4r^5= | | 21x^2+17x+3=0 | | x^2+14+24=0 | | 3(2x-1)-2(x-4)=14 | | 2x^2=-5x+3 |

Equations solver categories