3x^2+18x-27=0

Simple and best practice solution for 3x^2+18x-27=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+18x-27=0 equation:


Simplifying
3x2 + 18x + -27 = 0

Reorder the terms:
-27 + 18x + 3x2 = 0

Solving
-27 + 18x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 6x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-9 + 6x + x2)' equal to zero and attempt to solve: Simplifying -9 + 6x + x2 = 0 Solving -9 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '9' to each side of the equation. -9 + 6x + 9 + x2 = 0 + 9 Reorder the terms: -9 + 9 + 6x + x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 6x + x2 = 0 + 9 6x + x2 = 0 + 9 Combine like terms: 0 + 9 = 9 6x + x2 = 9 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 9 + 9 Reorder the terms: 9 + 6x + x2 = 9 + 9 Combine like terms: 9 + 9 = 18 9 + 6x + x2 = 18 Factor a perfect square on the left side: (x + 3)(x + 3) = 18 Calculate the square root of the right side: 4.242640687 Break this problem into two subproblems by setting (x + 3) equal to 4.242640687 and -4.242640687.

Subproblem 1

x + 3 = 4.242640687 Simplifying x + 3 = 4.242640687 Reorder the terms: 3 + x = 4.242640687 Solving 3 + x = 4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + x = 4.242640687 + -3 x = 4.242640687 + -3 Combine like terms: 4.242640687 + -3 = 1.242640687 x = 1.242640687 Simplifying x = 1.242640687

Subproblem 2

x + 3 = -4.242640687 Simplifying x + 3 = -4.242640687 Reorder the terms: 3 + x = -4.242640687 Solving 3 + x = -4.242640687 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -4.242640687 + -3 Combine like terms: 3 + -3 = 0 0 + x = -4.242640687 + -3 x = -4.242640687 + -3 Combine like terms: -4.242640687 + -3 = -7.242640687 x = -7.242640687 Simplifying x = -7.242640687

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.242640687, -7.242640687}

Solution

x = {1.242640687, -7.242640687}

See similar equations:

| x^2+23+60=0 | | 2x^2-72=0 | | 8x+18=58 | | x+7=19+2x | | 7+3x=23+x | | 7x-19=-2 | | 6x+38=74 | | 8x^2+5x-6=0 | | 6x-(2x+5)=19 | | -4(7-2s)=11 | | 6x+31=8x+13 | | 14-9x=3x-70 | | 6x+1=26-2x | | 10x+5y=-15 | | -4(2x-10)+3=-10 | | 7(6x-3)=29 | | a^2+7ab+10b^2= | | b^3+49b= | | 10-2w=-12 | | 10-2w=12 | | 7x^2+2x-9=0 | | 2x+13=9x-8 | | 9a+4a=8a | | 4x-1=11x-42 | | 2x+22=10x-42 | | -10x+15=5x-30 | | -7(t-3)+4t=-3(-7+t) | | (-6)-5= | | (7)(-4)= | | 2x+5=7x-20 | | 2q-4+8q=7q-8+3q | | r+11+8r=11 |

Equations solver categories