0=12x^2+80x-28

Simple and best practice solution for 0=12x^2+80x-28 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 0=12x^2+80x-28 equation:


Simplifying
0 = 12x2 + 80x + -28

Reorder the terms:
0 = -28 + 80x + 12x2

Solving
0 = -28 + 80x + 12x2

Solving for variable 'x'.

Combine like terms: 0 + 28 = 28
28 + -80x + -12x2 = -28 + 80x + 12x2 + 28 + -80x + -12x2

Reorder the terms:
28 + -80x + -12x2 = -28 + 28 + 80x + -80x + 12x2 + -12x2

Combine like terms: -28 + 28 = 0
28 + -80x + -12x2 = 0 + 80x + -80x + 12x2 + -12x2
28 + -80x + -12x2 = 80x + -80x + 12x2 + -12x2

Combine like terms: 80x + -80x = 0
28 + -80x + -12x2 = 0 + 12x2 + -12x2
28 + -80x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
28 + -80x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -20x + -3x2) = 0

Factor a trinomial.
4((1 + -3x)(7 + x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 2

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Solution

x = {0.3333333333, -7}

See similar equations:

| 0=x^2-15x-9256 | | 32a^3-6a+1=0 | | 23-3(y-7)=8 | | (3/20)^ | | (3/20)a^ | | (X^2+8)(9-5x)= | | x^2-1x-9x+18=0 | | s=-16t^2+256t | | x^2+5x-6x-30=0 | | 5(y-4)=2(+5) | | 63x^2+67x-18= | | (2x+3y)dx-4(x+1)dy=0 | | 8a^2-50b^2=0 | | 4x+6y=0.8 | | 3x-5.4=2x+1 | | (x-5)/(x-8)=0 | | x(.84)=34944 | | 4x+7=5(2x-4)+8 | | 5(x-7)=6x+2 | | x(.84)=100 | | 2x-4m^2=x^2-4mx+9 | | (5c+2)(2c-1)= | | 11m=6 | | f(x+5)=2x-5 | | G(30)=2/3t | | G(30)=2/3*30 | | x+x-22+x-17=180 | | h(t)=-4.9t^2+22t+14 | | 200/147.1 | | X-22+x-17+x=180 | | 10x-5y=15fory | | (5x+4z)x(2x-7z)= |

Equations solver categories