36x^2+48x+16=0

Simple and best practice solution for 36x^2+48x+16=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 36x^2+48x+16=0 equation:


Simplifying
36x2 + 48x + 16 = 0

Reorder the terms:
16 + 48x + 36x2 = 0

Solving
16 + 48x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 12x + 9x2) = 0

Factor a trinomial.
4((2 + 3x)(2 + 3x)) = 0

Ignore the factor 4.

Subproblem 1

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

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 = {-0.6666666667, -0.6666666667}

See similar equations:

| 5x+8=-107 | | 5/4(12-x)=2/3 | | 10x^2+11x+13=0 | | 5x-2=-1 | | -0.8=8.7t-9.4t-1.4 | | -0.8=8.7t-9.4-1.4 | | x/(x+1)=7/6 | | 1.5+0.75d=0.6d | | 7/(2x-5)=4/(x+1) | | 3y=38 | | .4p=1 | | 6x+8(3x+43000)=4154000 | | (9X/2)*(4/9X) | | h+5*22=196 | | h+5*22=110 | | 3/2(2x+4)=4x+6(1-x/2)-(x-2) | | (5/6)s+(3/4)=11/12 | | 7+h=67 | | 4y+3=7y-4y | | 3/4-(1/2)n=5/8 | | 8y-5=-2 | | 8y-5=-2+1 | | ((x+1)2)/((x+1)3) | | 0.17y+0.06(y+8000)=1630 | | 4x+3y+3=0 | | 2[p-(3p+19)+13]=2(p+6) | | 2(x-6)-4(x+2)=10 | | 8x^2/9y^2x3y^3/4x | | 4/(x-3)=-6/(x+3)+14/(x-3)(x+3) | | 16(v+4)-4v=4(3v+2)-13 | | -1/3+8x/5=-16/3-2x/5 | | 6-4x=6x-8+6 |

Equations solver categories