3x^2=12x-3

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


Simplifying
3x2 = 12x + -3

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

Solving
3x2 = -3 + 12x

Solving for variable 'x'.

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

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

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

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

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 = 3 4 + -4x + x2 = 3 Factor a perfect square on the left side: (x + -2)(x + -2) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (x + -2) equal to 1.732050808 and -1.732050808.

Subproblem 1

x + -2 = 1.732050808 Simplifying x + -2 = 1.732050808 Reorder the terms: -2 + x = 1.732050808 Solving -2 + x = 1.732050808 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 = 1.732050808 + 2 Combine like terms: -2 + 2 = 0 0 + x = 1.732050808 + 2 x = 1.732050808 + 2 Combine like terms: 1.732050808 + 2 = 3.732050808 x = 3.732050808 Simplifying x = 3.732050808

Subproblem 2

x + -2 = -1.732050808 Simplifying x + -2 = -1.732050808 Reorder the terms: -2 + x = -1.732050808 Solving -2 + x = -1.732050808 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 = -1.732050808 + 2 Combine like terms: -2 + 2 = 0 0 + x = -1.732050808 + 2 x = -1.732050808 + 2 Combine like terms: -1.732050808 + 2 = 0.267949192 x = 0.267949192 Simplifying x = 0.267949192

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.732050808, 0.267949192}

Solution

x = {3.732050808, 0.267949192}

See similar equations:

| V=4.3 | | p(p+q)-q(p+q)=0 | | g=v+k | | 7p+8p+29=59 | | X+mod(2x-1)=3 | | sqrtx+56=x | | 4x+8=4x+7 | | 6y=184+4x | | xln(x)-x=0 | | 5+8q=10+7q | | (2x+9)(8x-3)=0 | | t=v+k-g | | 3p+7=19 | | -6x+3(4x+3)=-99 | | v^2-2v-99=0 | | x+2(sqrtx)+1=0 | | 3y+1=7-4x | | 4x+1=6x-41e | | 4a(3a-4)=0 | | F=32+9.5c | | 6x+4+3r-13=126 | | t=v+tg | | Z+3(2z+5)=29 | | 64x^2-5=4 | | 3x+10=2x-8 | | 5v-2=10 | | 2x-3=2(x-9) | | 21x+3(5*7)=71 | | 2(a-4)+2=4a+6 | | -4-6m^2=-58 | | 4x=2xz-1 | | 4+5=1 |

Equations solver categories